Weight distributions for codes of dual designs

We give here the full weight distributions of the ternary
codes of the dual designs. As always, the numbering refers to that in [1] and [2] (see below).

{1}
[ <0, 1>, <13, 54>, <18, 858>, <22, 9126>, <24, 8424>, <25, 12636>, <27, 6110>,
<28, 12636>, <30, 4212>, <31, 4914>, <36, 78> ]
{2}
[ <0, 1>, <9, 8>, <13, 54>, <16, 216>, <18, 1428>, <19, 1026>, <21, 4536>, 
<22, 24192>, <24, 18306>, <25, 39906>, <27, 23522>, <28, 39744>, <30, 10530>, 
<31, 12204>, <33, 648>, <34, 702>, <36, 70>, <37, 54> ]
{3,8}
[ <0, 1>, <6, 8>, <12, 72>, <13, 102>, <15, 48>, <16, 480>, <18, 4242>, <19, 
5232>, <21, 12384>, <22, 66054>, <24, 57768>, <25, 129612>, <27, 68030>, <28, 
111036>, <30, 32580>, <31, 39954>, <33, 1792>, <34, 1776>, <36, 222>, <37, 48> ]
{4}
[ <0, 1>, <6, 2>, <12, 18>, <13, 66>, <15, 12>, <16, 120>, <18, 1704>, <19, 
1308>, <21, 3096>, <22, 23358>, <24, 20760>, <25, 41880>, <27, 21590>, <28, 
37236>, <30, 11304>, <31, 13674>, <33, 448>, <34, 444>, <36, 114>, <37, 12> ]
{5}
[ <0, 1>, <9, 14>, <13, 54>, <15, 216>, <16, 540>, <18, 2976>, <19, 6048>, <21, 
16848>, <22, 64530>, <24, 51570>, <25, 128196>, <27, 71438>, <28, 116208>, <30, 
32238>, <31, 36018>, <33, 1674>, <34, 2484>, <36, 172>, <37, 216> ]
{6}
[ <0, 1>, <12, 144>, <13, 54>, <16, 432>, <18, 4026>, <19, 6480>, <21, 12672>, 
<22, 62262>, <24, 57888>, <25, 134892>, <27, 67598>, <28, 107244>, <30, 32868>, 
<31, 41202>, <33, 1728>, <34, 1728>, <36, 222> ]
{7}
[ <0, 1>, <6, 6>, <9, 8>, <12, 54>, <13, 90>, <15, 36>, <16, 576>, <18, 3966>, 
<19, 4950>, <21, 13824>, <22, 66888>, <24, 55314>, <25, 127638>, <27, 69962>, 
<28, 113544>, <30, 31806>, <31, 38484>, <33, 1992>, <34, 2034>, <36, 178>, <37, 
90> ]
{9}
[ <0, 1>, <9, 14>, <12, 18>, <13, 54>, <15, 90>, <16, 540>, <18, 3246>, <19, 
6048>, <21, 16866>, <22, 64530>, <24, 50580>, <25, 128196>, <27, 73220>, <28, 
116208>, <30, 30744>, <31, 36018>, <33, 2304>, <34, 2484>, <36, 64>, <37, 216> ]
{10}
[ <0, 1>, <6, 6>, <9, 2>, <12, 54>, <13, 90>, <15, 108>, <16, 468>, <18, 3912>, 
<19, 5598>, <21, 13392>, <22, 65268>, <24, 56520>, <25, 129798>, <27, 68522>, 
<28, 111924>, <30, 32724>, <31, 39132>, <33, 1686>, <34, 1926>, <36, 220>, <37, 
90> ]
{11}
[ <0, 1>, <9, 8>, <13, 54>, <15, 288>, <16, 432>, <18, 2922>, <19, 6696>, <21, 
16416>, <22, 62910>, <24, 52776>, <25, 130356>, <27, 69998>, <28, 114588>, <30, 
33156>, <31, 36666>, <33, 1368>, <34, 2376>, <36, 214>, <37, 216> ]
{12}
[ <0, 1>, <6, 4>, <9, 4>, <12, 36>, <13, 78>, <15, 168>, <16, 456>, <18, 3582>, 
<19, 5964>, <21, 14400>, <22, 64482>, <24, 55272>, <25, 129984>, <27, 69014>, 
<28, 112812>, <30, 32868>, <31, 38310>, <33, 1580>, <34, 2076>, <36, 218>, <37, 
132> ]
{13}
[ <0, 1>, <6, 2>, <9, 12>, <12, 18>, <13, 66>, <15, 156>, <16, 552>, <18, 3306>,
<19, 5682>, <21, 15840>, <22, 65316>, <24, 52818>, <25, 128010>, <27, 70946>, 
<28, 115320>, <30, 32094>, <31, 36840>, <33, 1780>, <34, 2334>, <36, 174>, <37, 
174> ]
{14}
[ <0, 1>, <9, 6>, <12, 90>, <13, 54>, <15, 486>, <16, 1188>, <18, 9120>, <19, 
22842>, <21, 50958>, <22, 181980>, <24, 153198>, <25, 396306>, <27, 216476>, 
<28, 345060>, <30, 94590>, <31, 106164>, <33, 6372>, <34, 8802>, <36, 144>, <37,
486> ]
{15}
[ <0, 1>, <12, 156>, <13, 54>, <15, 624>, <16, 1092>, <18, 9282>, <19, 23244>, 
<21, 48360>, <22, 179478>, <24, 157170>, <25, 404040>, <27, 215306>, <28, 
334464>, <30, 93288>, <31, 112554>, <33, 7176>, <34, 7644>, <36, 78>, <37, 312> ]
{16}
[ <0, 1>, <6, 4>, <12, 108>, <13, 78>, <15, 24>, <16, 456>, <18, 4134>, <19, 
5856>, <21, 12528>, <22, 64158>, <24, 57828>, <25, 132252>, <27, 67814>, <28, 
109140>, <30, 32724>, <31, 40578>, <33, 1760>, <34, 1752>, <36, 222>, <37, 24> ] 
{17}
[ <0, 1>, <6, 6>, <9, 26>, <12, 108>, <13, 90>, <15, 306>, <16, 1548>, <18, 
9420>, <19, 20016>, <21, 50814>, <22, 187902>, <24, 152136>, <25, 392508>, <27, 
219056>, <28, 342936>, <30, 92448>, <31, 109926>, <33, 6960>, <34, 7380>, <36, 
160>, <37, 576> ]
{18}
[ <0, 1>, <12, 156>, <13, 80>, <15, 624>, <16, 1118>, <18, 9282>, <19, 22334>, 
<21, 48360>, <22, 182936>, <24, 157170>, <25, 397670>, <27, 215306>, <28, 
341198>, <30, 93288>, <31, 108368>, <33, 7176>, <34, 9074>, <36, 78>, <37, 104> ]
{19}
[ <0, 1>, <6, 2>, <9, 8>, <12, 30>, <13, 66>, <15, 108>, <16, 480>, <18, 3462>, 
<19, 6042>, <21, 15744>, <22, 64668>, <24, 52302>, <25, 128370>, <27, 72194>, 
<28, 115680>, <30, 30882>, <31, 36192>, <33, 2344>, <34, 2694>, <36, 70>, <37, 
102> ]
{20}
[ <0, 1>, <6, 2>, <9, 12>, <12, 18>, <13, 66>, <15, 120>, <16, 552>, <18, 3450>,
<19, 5682>, <21, 15732>, <22, 65316>, <24, 52458>, <25, 128010>, <27, 71846>, 
<28, 115320>, <30, 31230>, <31, 36840>, <33, 2176>, <34, 2334>, <36, 102>, <37, 
174> ]
{21,26}
[ <0, 1>, <6, 12>, <9, 20>, <12, 108>, <13, 126>, <15, 396>, <16, 1584>, <18, 
10032>, <19, 18918>, <21, 47412>, <22, 190260>, <24, 157770>, <25, 391950>, <27,
214934>, <28, 340272>, <30, 93906>, <31, 112392>, <33, 6576>, <34, 6930>, <36, 
274>, <37, 450> ]
{22,38}
[ <0, 1>, <6, 6>, <9, 26>, <12, 72>, <13, 90>, <15, 450>, <16, 1548>, <18, 
9420>, <19, 20016>, <21, 49806>, <22, 187902>, <24, 154656>, <25, 392508>, <27, 
216032>, <28, 342936>, <30, 94464>, <31, 109926>, <33, 6240>, <34, 7380>, <36, 
268>, <37, 576> ]
{23}
[ <0, 1>, <6, 4>, <12, 60>, <13, 78>, <15, 120>, <16, 408>, <18, 3846>, <19, 
6192>, <21, 13632>, <22, 63798>, <24, 55980>, <25, 131340>, <27, 69254>, <28, 
111348>, <30, 32100>, <31, 38994>, <33, 2000>, <34, 2064>, <36, 150>, <37, 72> ]
{24}
[ <0, 1>, <6, 14>, <12, 198>, <13, 138>, <15, 372>, <16, 1344>, <18, 10668>, 
<19, 19884>, <21, 43992>, <22, 187374>, <24, 163428>, <25, 397992>, <27, 
211022>, <28, 333372>, <30, 94968>, <31, 115914>, <33, 6448>, <34, 6636>, <36, 
330>, <37, 228> ]
{25}
[ <0, 1>, <6, 6>, <12, 174>, <13, 90>, <15, 516>, <16, 1200>, <18, 9876>, <19, 
21804>, <21, 46488>, <22, 182862>, <24, 159852>, <25, 401448>, <27, 213470>, 
<28, 333996>, <30, 94008>, <31, 113994>, <33, 6864>, <34, 7212>, <36, 186>, <37,
276> ]
{27}
[ <0, 1>, <9, 8>, <12, 180>, <13, 54>, <15, 468>, <16, 1188>, <18, 9168>, <19, 
22518>, <21, 49644>, <22, 181980>, <24, 155070>, <25, 399222>, <27, 216590>, 
<28, 339876>, <30, 93222>, <31, 109080>, <33, 6948>, <34, 8802>, <36, 142>, <37,
162> ]
{28}
[ <0, 1>, <6, 6>, <9, 14>, <12, 90>, <13, 90>, <15, 540>, <16, 1332>, <18, 
9078>, <19, 21096>, <21, 50472>, <22, 185958>, <24, 153558>, <25, 393588>, <27, 
217454>, <28, 344016>, <30, 93294>, <31, 107982>, <33, 6762>, <34, 8460>, <36, 
172>, <37, 360> ]
{29}
[ <0, 1>, <6, 4>, <12, 60>, <13, 82>, <15, 120>, <16, 412>, <18, 3846>, <19, 
6052>, <21, 13632>, <22, 64330>, <24, 55980>, <25, 130360>, <27, 69254>, <28, 
112384>, <30, 32100>, <31, 38350>, <33, 2000>, <34, 2284>, <36, 150>, <37, 40> ]
{30}
[ <0, 1>, <6, 6>, <9, 4>, <12, 198>, <13, 90>, <15, 468>, <16, 1296>, <18, 
9900>, <19, 21240>, <21, 46152>, <22, 183906>, <24, 160992>, <25, 401004>, <27, 
211790>, <28, 333252>, <30, 95400>, <31, 114894>, <33, 6204>, <34, 6912>, <36, 
326>, <37, 288> ]
{31}
[ <0, 1>, <6, 10>, <9, 4>, <12, 162>, <13, 114>, <15, 492>, <16, 1320>, <18,
10008>, <19, 20616>, <21, 46008>, <22, 185802>, <24, 160932>, <25, 398364>, <27,
212006>, <28, 335148>, <30, 95256>, <31, 114270>, <33, 6236>, <34, 6936>, <36,
326>, <37, 312> ]
{32}
[ <0, 1>, <6, 10>, <9, 4>, <12, 162>, <13, 126>, <15, 492>, <16, 1332>, <18, 
10008>, <19, 20196>, <21, 46008>, <22, 187398>, <24, 160932>, <25, 395424>, <27,
212006>, <28, 338256>, <30, 95256>, <31, 112338>, <33, 6236>, <34, 7596>, <36, 
326>, <37, 216> ]
{33}
[ <0, 1>, <6, 6>, <9, 4>, <12, 198>, <13, 102>, <15, 468>, <16, 1308>, <18, 
9900>, <19, 20820>, <21, 46152>, <22, 185502>, <24, 160992>, <25, 398064>, <27, 
211790>, <28, 336360>, <30, 95400>, <31, 112962>, <33, 6204>, <34, 7572>, <36, 
326>, <37, 192> ]
{34,36}
[ <0, 1>, <6, 4>, <9, 12>, <12, 144>, <13, 78>, <15, 456>, <16, 1320>, <18, 
9300>, <19, 21354>, <21, 49608>, <22, 184848>, <24, 154866>, <25, 396042>, <27, 
216746>, <28, 341232>, <30, 93294>, <31, 109428>, <33, 6836>, <34, 8286>, <36, 
174>, <37, 294> ]
{35}
[ <0, 1>, <6, 8>, <9, 12>, <12, 108>, <13, 102>, <15, 480>, <16, 1344>, <18, 
9408>, <19, 20730>, <21, 49464>, <22, 186744>, <24, 154806>, <25, 393402>, <27, 
216962>, <28, 343128>, <30, 93150>, <31, 108804>, <33, 6868>, <34, 8310>, <36, 
174>, <37, 318> ]
{37}
[ <0, 1>, <6, 8>, <9, 12>, <12, 144>, <13, 102>, <15, 480>, <16, 1416>, <18, 
9732>, <19, 20334>, <21, 47448>, <22, 186636>, <24, 158478>, <25, 396390>, <27, 
213938>, <28, 337656>, <30, 94482>, <31, 112800>, <33, 6436>, <34, 7194>, <36, 
282>, <37, 354> ]
{39}
[ <0, 1>, <6, 8>, <9, 2>, <12, 216>, <13, 102>, <15, 408>, <16, 1308>, <18, 
10230>, <19, 20874>, <21, 45144>, <22, 184692>, <24, 162240>, <25, 400818>, <27,
211298>, <28, 332364>, <30, 95256>, <31, 115716>, <33, 6310>, <34, 6762>, <36, 
328>, <37, 246> ]
{40}
[ <0, 1>, <6, 12>, <9, 2>, <12, 180>, <13, 138>, <15, 432>, <16, 1344>, <18, 
10338>, <19, 19830>, <21, 45000>, <22, 188184>, <24, 162180>, <25, 395238>, <27,
211514>, <28, 337368>, <30, 95112>, <31, 113160>, <33, 6342>, <34, 7446>, <36, 
328>, <37, 174> ]
{41}
[ <0, 1>, <6, 8>, <9, 2>, <12, 160>, <13, 110>, <15, 496>, <16, 1244>, <18,
9886>, <19, 21062>, <21, 46552>, <22, 185432>, <24, 160228>, <25, 396950>, <27,
212202>, <28, 338468>, <30, 95416>, <31, 111512>, <33, 6182>, <34, 7886>, <36,
308>, <37, 218> ]  
{42,46,47}
[ <0, 1>, <6, 6>, <9, 4>, <12, 142>, <13, 98>, <15, 556>, <16, 1232>, <18, 
9556>, <19, 21428>, <21, 47560>, <22, 184646>, <24, 158980>, <25, 397136>, <27, 
212694>, <28, 339356>, <30, 95560>, <31, 110690>, <33, 6076>, <34, 8036>, <36, 
306>, <37, 260> ]
{43}
[ <0, 1>, <6, 8>, <9, 2>, <12, 216>, <13, 114>, <15, 408>, <16, 1320>, <18, 
10230>, <19, 20454>, <21, 45144>, <22, 186288>, <24, 162240>, <25, 397878>, <27,
211298>, <28, 335472>, <30, 95256>, <31, 113784>, <33, 6310>, <34, 7422>, <36, 
328>, <37, 150> ]
{44}
[ <0, 1>, <6, 6>, <9, 4>, <12, 198>, <13, 102>, <15, 468>, <16, 1308>, <18, 
9900>, <19, 20820>, <21, 46152>, <22, 185502>, <24, 160992>, <25, 398064>, <27, 
211790>, <28, 336360>, <30, 95400>, <31, 112962>, <33, 6204>, <34, 7572>, <36, 
326>, <37, 192> ]
{45,48,49}
[ <0, 1>, <6, 4>, <9, 12>, <12, 124>, <13, 86>, <15, 544>, <16, 1328>, <18, 
9280>, <19, 21146>, <21, 49000>, <22, 185480>, <24, 156526>, <25, 395162>, <27, 
214626>, <28, 341864>, <30, 94786>, <31, 109220>, <33, 6276>, <34, 8294>, <36, 
262>, <37, 302> ]
{50}
[ <0, 1>, <6, 8>, <9, 12>, <12, 144>, <13, 114>, <15, 480>, <16, 1428>, <18, 
9732>, <19, 19914>, <21, 47448>, <22, 188232>, <24, 158478>, <25, 393450>, <27, 
213938>, <28, 340764>, <30, 94482>, <31, 110868>, <33, 6436>, <34, 7854>, <36, 
282>, <37, 258> ]
{51,52,54,55}
[ <0, 1>, <6, 2>, <9, 8>, <12, 106>, <13, 74>, <15, 676>, <16, 1208>, <18, 
8896>, <19, 22160>, <21, 49576>, <22, 183074>, <24, 156484>, <25, 397508>, <27, 
213678>, <28, 341132>, <30, 95848>, <31, 109046>, <33, 5864>, <34, 8336>, <36, 
302>, <37, 344> ]
{53}
[ <0, 1>, <6, 2>, <9, 14>, <12, 106>, <13, 74>, <15, 604>, <16, 1316>, <18, 
8950>, <19, 21512>, <21, 50008>, <22, 184694>, <24, 155278>, <25, 395348>, <27, 
215118>, <28, 342752>, <30, 94930>, <31, 108398>, <33, 6170>, <34, 8444>, <36, 
260>, <37, 344> ]
{56}
[ <0, 1>, <6, 4>, <9, 8>, <12, 144>, <13, 78>, <15, 492>, <16, 1212>, <18, 
9276>, <19, 21894>, <21, 49500>, <22, 183876>, <24, 155010>, <25, 396582>, <27, 
216806>, <28, 341772>, <30, 93078>, <31, 108456>, <33, 6980>, <34, 8826>, <36, 
142>, <37, 186> ]
{57}
[ <0, 1>, <6, 2>, <9, 14>, <12, 68>, <13, 66>, <15, 494>, <16, 1236>, <18, 
9272>, <19, 22260>, <21, 50570>, <22, 183306>, <24, 153176>, <25, 395400>, <27, 
217444>, <28, 344712>, <30, 93488>, <31, 106770>, <33, 6816>, <34, 8688>, <36, 
96>, <37, 444> ]
{58}
[ <0, 1>, <6, 2>, <12, 258>, <13, 74>, <15, 420>, <16, 1208>, <18, 9960>, <19, 
21908>, <21, 45600>, <22, 182318>, <24, 162000>, <25, 402800>, <27, 211214>, 
<28, 332564>, <30, 95352>, <31, 114338>, <33, 6328>, <34, 7580>, <36, 306>, 
<37,92> ]
{59,66}
[ <0, 1>, <6, 6>, <12, 222>, <13, 98>, <15, 444>, <16, 1232>, <18, 10068>, <19, 
21284>, <21, 45456>, <22, 184214>, <24, 161940>, <25, 400160>, <27, 211430>, 
<28, 334460>, <30, 95208>, <31, 113714>, <33, 6360>, <34, 7604>, <36, 306>, 
<37,116> ]
{60}
[ <0, 1>, <6, 6>, <12, 134>, <13, 94>, <15, 532>, <16, 1108>, <18, 9972>, <19, 
22216>, <21, 46520>, <22, 182746>, <24, 159844>, <25, 399436>, <27, 212942>, 
<28, 337960>, <30, 94664>, <31, 110974>, <33, 6640>, <34, 8128>, <36, 186>, <37,
220> ]
{61}
[ <0, 1>, <6, 4>, <9, 12>, <12, 80>, <13, 78>, <15, 532>, <16, 1224>, <18, 
9468>, <19, 21978>, <21, 49292>, <22, 183768>, <24, 155098>, <25, 396090>, <27, 
216542>, <28, 342720>, <30, 93350>, <31, 108132>, <33, 6960>, <34, 8550>, <36, 
102>, <37, 342> ]
{62}
[ <0, 1>, <6, 6>, <12, 144>, <13, 104>, <15, 528>, <16, 1142>, <18, 9948>, <19, 
21728>, <21, 46512>, <22, 184238>, <24, 159846>, <25, 397244>, <27, 213074>, 
<28, 339818>, <30, 94500>, <31, 109958>, <33, 6696>, <34, 8504>, <36, 186>, 
<37,146> ]
{63,68}
[ <0, 1>, <9, 4>, <12, 162>, <13, 66>, <15, 600>, <16, 1128>, <18, 9102>, <19, 
22638>, <21, 48780>, <22, 181848>, <24, 157524>, <25, 399342>, <27, 213458>, 
<28, 339744>, <30, 95400>, <31, 109200>, <33, 6144>, <34, 8742>, <36, 266>, 
<37,174> ]
{64}
[ <0, 1>, <6, 6>, <12, 142>, <13, 98>, <15, 572>, <16, 1136>, <18, 9888>, <19, 
21896>, <21, 46384>, <22, 183530>, <24, 160148>, <25, 398732>, <27, 212918>, 
<28, 338132>, <30, 94468>, <31, 110942>, <33, 6728>, <34, 8264>, <36, 186>, 
<37,152> ]
{65}
[ <0, 1>, <6, 4>, <9, 12>, <12, 80>, <13, 82>, <15, 532>, <16, 1228>, <18, 
9468>, <19, 21838>, <21, 49292>, <22, 184300>, <24, 155098>, <25, 395110>, <27, 
216542>, <28, 343756>, <30, 93350>, <31, 107488>, <33, 6960>, <34, 8770>, <36, 
102>, <37, 310> ]
{67}
[ <0, 1>, <6, 10>, <12, 234>, <13, 126>, <15, 348>, <16, 1332>, <18, 10560>,
<19, 20088>, <21, 44136>, <22, 187074>, <24, 163488>, <25, 397692>, <27,
210806>, <28, 334584>, <30, 95112>, <31, 114606>, <33, 6416>, <34, 7272>, <36,
330>, <37, 108> ] 
[1] Clement Lam and Vladimir~D. Tonchev.
 Classification of affine resolvable 2-$(27,9,4)$ designs.
 J. Statist. Plann. Inference, 56:187--202, 1996.

[2] Clement Lam and Vladimir~D. Tonchev.
 Classification of affine resolvable 2-$(27,9,4)$ designs:
  Corrigendum.
  J. Statist. Plann. Inference To appear.