N = 53, t = 5, v = 2 - Classification of (λ; y)-balanced CAs with N = 53 rows, strength t = 5 and alphabet size v=2 in the format CAK# time, where # represents the number of non-equivalent balanced CAs and the time is given in seconds.

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λ (26,13,6,3,1) (26,12,6,3,1) (25,12,6,3,1) (24,12,6,3,1) (26,13,6,2,1) (26,12,6,2,1) (25,12,6,2,1) (24,12,6,2,1)
y CAKλy# time (s) CAKλy# time (s) CAKλy# time (s) CAKλy# time (s) CAKλy# time (s) CAKλy# time (s) CAKλy# time (s) CAKλy# time (s)
(27,14,7,4,2) 62 0 62 0 62ζ 62ζ 62 0 62 0 62ζ 62ζ
(27,14,8,4,2) 62 0 62 0 62ζ 62ζ 65 0 629 0 629ζ 629ζ
(27,14,7,4,3) 62 0 62 0 62ζ 62ζ 62 0 71 0 71ζ 71ζ
(27,14,8,4,3) 62 0 610 0 610ζ 610ζ 657 1 81 11 81ζ 81ζ
(27,14,8,5,3) 62 0 619 0 619ζ 619ζ 728 4 89 182 89ζ 89ζ
(27,14,8,5,4) 62 0 619 0 619ζ 619ζ 730 4 89 165 89ζ 89ζ
(27,15,8,4,2) 62ω 62 0 62ζ 62ζ 65ω 642 1 642ζ 642ζ
(27,15,8,4,3) 62ω 612 0 612ζ 612ζ 657ω 81 13 81ζ 81ζ
(27,15,8,5,3) 62ω 6142 0 6142ζ 6142ζ 728ω 835 456 835ζ 835ζ
(27,15,9,5,3) 62ω 6193 1 6193ζ 6193ζ 728ω 850 499 850ζ 850ζ
(27,15,9,6,3) 62ω 6198 0 6198ζ 6198ζ 728ω 876 349 876ζ 876ζ
(27,15,8,5,4) 62ω 6165 1 6165ζ 6165ζ 730ω 844 527 844ζ 844ζ
(27,15,9,5,4) 62ω 6253 0 6253ζ 6253ζ 730ω 867 561 867ζ 867ζ
(27,15,9,6,4) 62ω 71 1 71ζ 71ζ 734ω 8151 734 8151ζ 8151ζ
(27,15,9,6,5) 62ω 71 0 71ζ 71ζ 734ω 8156 762 8156ζ 8156ζ
(28,14,7,4,2) 62ψ 62ψ 62 0 62ζ 62ψ 62ψ 62 0 62ζ
(28,14,8,4,2) 62ψ 62ψ 62 0 62ζ 65ψ 629ψ 630 1 630ζ
(28,15,8,4,2) 62ψ,ω 62ψ 64 0 64ζ 65ψ,ω 642ψ 670 0 670ζ
(28,16,8,4,2) 62ψ,ω 62ψ,ω 64 0 64ζ 65ψ,ω 642ψ,ω 672 0 672ζ
(28,14,7,4,3) 62ψ 62ψ 63 0 63ζ 62ψ 71ψ 71 0 71ζ
(28,14,8,4,3) 62ψ 610ψ 614 0 614ζ 657ψ 81ψ 81 12 81ζ
(28,15,8,4,3) 62ψ,ω 612ψ 631 0 631ζ 657ψ,ω 81ψ 81 14 81ζ
(28,16,8,4,3) 62ψ,ω 612ψ,ω 632 0 632ζ 657ψ,ω 81ψ,ω 81 18 81ζ
(28,14,8,5,3) 62ψ 619ψ 623 1 623ζ 728ψ 89ψ 89 182 89ζ
(28,15,8,5,3) 62ψ,ω 6142ψ 6486 1 6486ζ 728ψ,ω 835ψ 836 1477 836ζ
(28,16,8,5,3) 62ψ,ω 6142ψ,ω 6508 1 6508ζ 728ψ,ω 835ψ,ω 836 1451 836ζ
(28,15,9,5,3) 62ψ,ω 6193ψ 6906 2 6906ζ 728ψ,ω 850ψ 851 2000 851ζ
(28,16,9,5,3) 62ψ,ω 6193ψ,ω 61149 2 61149ζ 728ψ,ω 850ψ,ω 851 2224 851ζ
(28,16,10,5,3) 62ψ,ω 6193ψ,ω 61162 2 61162ζ 728ψ,ω 850ψ,ω 851 2246 851ζ
(28,15,9,6,3) 62ψ,ω 6198ψ 6953 1 6953ζ 728ψ,ω 876ψ 896 1646 896ζ
(28,16,9,6,3) 62ψ,ω 6198ψ,ω 61263 3 61263ζ 728ψ,ω 876ψ,ω 896 1783 896ζ
(28,16,10,6,3) 62ψ,ω 6198ψ,ω 61307 2 61307ζ 728ψ,ω 876ψ,ω 896 1813 896ζ
(28,14,8,5,4) 62ψ 619ψ 623 0 623ζ 730ψ 89ψ 89 185 89ζ
(28,15,8,5,4) 62ψ,ω 6165ψ 6566 1 6566ζ 730ψ,ω 844ψ 845 1780 845ζ
(28,16,8,5,4) 62ψ,ω 6165ψ,ω 6595 2 6595ζ 730ψ,ω 844ψ,ω 845 1653 845ζ
(28,15,9,5,4) 62ψ,ω 6253ψ 61165 2 61165ζ 730ψ,ω 867ψ 868 2888 868ζ
(28,16,9,5,4) 62ψ,ω 6253ψ,ω 61517 3 61517ζ 730ψ,ω 867ψ,ω 868 3177 868ζ
(28,16,10,5,4) 62ψ,ω 6253ψ,ω 61537 2 61537ζ 730ψ,ω 867ψ,ω 868 3323 868ζ
(28,15,9,6,4) 62ψ,ω 71ψ 73 2 73ζ 734ψ,ω 8151ψ t.o. -ζ
(28,16,9,6,4) 62ψ,ω 71ψ,ω 76 4 76ζ 734ψ,ω 8151ψ,ω - -ζ
(28,16,10,6,4) 62ψ,ω 71ψ,ω 710 4 710ζ 734ψ,ω 8151ψ,ω - -ζ
(28,16,10,7,4) 62ψ,ω 71ψ,ω 714 3 714ζ 734ψ,ω 8162ψ,ω - -ζ
(28,15,9,6,5) 62ψ,ω 71ψ 73 2 73ζ 734ψ,ω 8156ψ - -ζ
(28,16,9,6,5) 62ψ,ω 71ψ,ω 76 4 76ζ 734ψ,ω 8156ψ,ω - -ζ
(28,16,10,6,5) 62ψ,ω 71ψ,ω 710 3 710ζ 734ψ,ω 8156ψ,ω - -ζ
(28,16,10,7,5) 62ψ,ω 71ψ,ω 720 3 720ζ 734ψ,ω 8167ψ,ω - -ζ
(28,16,10,7,6) 62ψ,ω 71ψ,ω 720 4 720ζ 734ψ,ω 8167ψ,ω - -ζ
(29,15,8,4,2) 62ψ,ω 62ψ 64ψ 64 0 65ψ,ω 642ψ 670ψ 671 1
(29,16,8,4,2) 62ψ,ω 62ψ,ω 64ψ 64 0 65ψ,ω 642ψ,ω 672ψ 676 0
(29,15,8,4,3) 62ψ,ω 612ψ 631ψ 632 0 657ψ,ω 81ψ 81ψ 81 18
(29,16,8,4,3) 62ψ,ω 612ψ,ω 632ψ 635 0 657ψ,ω 81ψ,ω 81ψ 81 18
(29,15,8,5,3) 62ψ,ω 6142ψ 6486ψ 6503 1 728ψ,ω 835ψ 836ψ 836 1505
(29,16,8,5,3) 62ψ,ω 6142ψ,ω 6508ψ 6533 1 728ψ,ω 835ψ,ω 836ψ 836 1488
(29,15,9,5,3) 62ψ,ω 6193ψ 6906ψ 6973 2 728ψ,ω 850ψ 851ψ 851 2251
(29,16,9,5,3) 62ψ,ω 6193ψ,ω 61149ψ 61372 3 728ψ,ω 850ψ,ω 851ψ 851 2659
(29,17,9,5,3) 62ψ,ω 6193ψ,ω 61149ψ,ω 61386 3 728ψ,ω 850ψ,ω 851ψ,ω 851 2558
(29,16,10,5,3) 62ψ,ω 6193ψ,ω 61162ψ 61398 2 728ψ,ω 850ψ,ω 851ψ 851 2525
(29,17,10,5,3) 62ψ,ω 6193ψ,ω 61162ψ,ω 61421 2 728ψ,ω 850ψ,ω 851ψ,ω 851 2550
(29,15,9,6,3) 62ψ,ω 6198ψ 6953ψ 61029 2 728ψ,ω 876ψ 896ψ 896 1722
(29,16,9,6,3) 62ψ,ω 6198ψ,ω 61263ψ 61533 4 728ψ,ω 876ψ,ω 896ψ 896 2246
(29,17,9,6,3) 62ψ,ω 6198ψ,ω 61263ψ,ω 61552 3 728ψ,ω 876ψ,ω 896ψ,ω 896 1996
(29,16,10,6,3) 62ψ,ω 6198ψ,ω 61307ψ 61622 3 728ψ,ω 876ψ,ω 896ψ 896 2208
(29,17,10,6,3) 62ψ,ω 6198ψ,ω 61307ψ,ω 61672 4 728ψ,ω 876ψ,ω 896ψ,ω 896 2113
(29,17,11,6,3) 62ψ,ω 6198ψ,ω 61307ψ,ω 61676 2 728ψ,ω 876ψ,ω 896ψ,ω 896 2257
(29,15,8,5,4) 62ψ,ω 6165ψ 6566ψ 6585 1 730ψ,ω 844ψ 845ψ 845 1947
(29,16,8,5,4) 62ψ,ω 6165ψ,ω 6595ψ 6622 2 730ψ,ω 844ψ,ω 845ψ 845 1817
(29,15,9,5,4) 62ψ,ω 6253ψ 61165ψ 61253 2 730ψ,ω 867ψ 868ψ 868 3119
(29,16,9,5,4) 62ψ,ω 6253ψ,ω 61517ψ 61819 4 730ψ,ω 867ψ,ω 868ψ t.o.
(29,17,9,5,4) 62ψ,ω 6253ψ,ω 61517ψ,ω 61836 4 730ψ,ω 867ψ,ω 868ψ,ω -
(29,16,10,5,4) 62ψ,ω 6253ψ,ω 61537ψ 61856 4 730ψ,ω 867ψ,ω 868ψ -
(29,17,10,5,4) 62ψ,ω 6253ψ,ω 61537ψ,ω 61882 2 730ψ,ω 867ψ,ω 868ψ,ω -
(29,15,9,6,4) 62ψ,ω 71ψ 73ψ 74 2 734ψ,ω 8151ψ -ψ -
(29,16,9,6,4) 62ψ,ω 71ψ,ω 76ψ 79 5 734ψ,ω 8151ψ,ω -ψ -
(29,17,9,6,4) 62ψ,ω 71ψ,ω 76ψ,ω 710 5 734ψ,ω 8151ψ,ω -ψ,ω -
(29,16,10,6,4) 62ψ,ω 71ψ,ω 710ψ 716 5 734ψ,ω 8151ψ,ω -ψ -
(29,17,10,6,4) 62ψ,ω 71ψ,ω 710ψ,ω 719 5 734ψ,ω 8151ψ,ω -ψ,ω -
(29,17,11,6,4) 62ψ,ω 71ψ,ω 710ψ,ω 720 4 734ψ,ω 8151ψ,ω -ψ,ω -
(29,16,10,7,4) 62ψ,ω 71ψ,ω 714ψ 724 4 734ψ,ω 8162ψ,ω -ψ -
(29,17,10,7,4) 62ψ,ω 71ψ,ω 714ψ,ω 730 6 734ψ,ω 8162ψ,ω -ψ,ω -
(29,17,11,7,4) 62ψ,ω 71ψ,ω 714ψ,ω 733 5 734ψ,ω 8162ψ,ω -ψ,ω -
(29,17,11,8,4) 62ψ,ω 71ψ,ω 714ψ,ω 734 5 734ψ,ω 8162ψ,ω -ψ,ω -
(29,15,9,6,5) 62ψ,ω 71ψ 73ψ 74 2 734ψ,ω 8156ψ -ψ -
(29,16,9,6,5) 62ψ,ω 71ψ,ω 76ψ 79 6 734ψ,ω 8156ψ,ω -ψ -
(29,17,9,6,5) 62ψ,ω 71ψ,ω 76ψ,ω 710 5 734ψ,ω 8156ψ,ω -ψ,ω -
(29,16,10,6,5) 62ψ,ω 71ψ,ω 710ψ 716 4 734ψ,ω 8156ψ,ω -ψ -
(29,17,10,6,5) 62ψ,ω 71ψ,ω 710ψ,ω 719 6 734ψ,ω 8156ψ,ω -ψ,ω -
(29,17,11,6,5) 62ψ,ω 71ψ,ω 710ψ,ω 720 4 734ψ,ω 8156ψ,ω -ψ,ω -
(29,16,10,7,5) 62ψ,ω 71ψ,ω 720ψ 736 5 734ψ,ω 8167ψ,ω -ψ -
(29,17,10,7,5) 62ψ,ω 71ψ,ω 720ψ,ω 748 6 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,7,5) 62ψ,ω 71ψ,ω 720ψ,ω 757 5 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,8,5) 62ψ,ω 71ψ,ω 720ψ,ω 763 5 734ψ,ω 8167ψ,ω -ψ,ω -
(29,16,10,7,6) 62ψ,ω 71ψ,ω 720ψ 736 5 734ψ,ω 8167ψ,ω -ψ -
(29,17,10,7,6) 62ψ,ω 71ψ,ω 720ψ,ω 748 6 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,7,6) 62ψ,ω 71ψ,ω 720ψ,ω 757 6 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,8,6) 62ψ,ω 71ψ,ω 720ψ,ω 770 4 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,8,7) 62ψ,ω 71ψ,ω 720ψ,ω 770 4 734ψ,ω 8167ψ,ω -ψ,ω -
(27,14,7,5,3) 62ω 62ω 62ζ,ω 62ζ,ω 71 0 72 0 72ζ 72ζ
(27,14,8,6,3) 62ω 619ω 619ζ,ω 619ζ,ω 728 3 810 134 810ζ 810ζ
(27,14,7,5,4) 62ω 62ω 62ζ,ω 62ζ,ω 71 0 72 0 72ζ 72ζ
(27,14,8,6,4) 62ω 619ω 619ζ,ω 619ζ,ω 734 3 810 146 810ζ 810ζ
(27,14,8,6,5) 62ω 619ω 619ζ,ω 619ζ,ω 734 4 810 131 810ζ 810ζ
(27,15,8,6,3) 62ω 6142ω 6142ζ,ω 6142ζ,ω 728ω 856 356 856ζ 856ζ
(27,15,8,6,4) 62ω 6165ω 6165ζ,ω 6165ζ,ω 734ω 893 454 893ζ 893ζ
(27,15,9,7,4) 62ω 71ω 71ζ,ω 71ζ,ω 734ω 8162 540 8162ζ 8162ζ
(27,15,8,6,5) 62ω 6165ω 6165ζ,ω 6165ζ,ω 734ω 893 430 893ζ 893ζ
(27,15,9,7,5) 62ω 71ω 71ζ,ω 71ζ,ω 734ω 8167 472 8167ζ 8167ζ
(27,15,9,7,6) 62ω 71ω 71ζ,ω 71ζ,ω 734ω 8167 503 8167ζ 8167ζ
(28,14,7,5,3) 62ψ,ω 62ψ,ω 63ω 63ζ,ω 71ψ 72ψ 74 0 74ζ
(28,14,8,6,3) 62ψ,ω 619ψ,ω 623ω 623ζ,ω 728ψ 810ψ 811 138 811ζ
(28,15,8,6,3) 62ψ,ω 6142ψ,ω 6486ω 6486ζ,ω 728ψ,ω 856ψ 867 1152 867ζ
(28,16,8,6,3) 62ψ,ω 6142ψ,ω 6508ω 6508ζ,ω 728ψ,ω 856ψ,ω 867 1107 867ζ
(28,14,7,5,4) 62ψ,ω 62ψ,ω 63ω 63ζ,ω 71ψ 72ψ 74 0 74ζ
(28,14,8,6,4) 62ψ,ω 619ψ,ω 623ω 623ζ,ω 734ψ 810ψ 811 154 811ζ
(28,15,8,6,4) 62ψ,ω 6165ψ,ω 6566ω 6566ζ,ω 734ψ,ω 893ψ 8110 1520 8110ζ
(28,16,8,6,4) 62ψ,ω 6165ψ,ω 6595ω 6595ζ,ω 734ψ,ω 893ψ,ω 8110 1457 8110ζ
(28,15,9,7,4) 62ψ,ω 71ψ,ω 73ω 73ζ,ω 734ψ,ω 8162ψ - -ζ
(28,16,9,7,4) 62ψ,ω 71ψ,ω 76ω 76ζ,ω 734ψ,ω 8162ψ,ω - -ζ
(28,16,10,8,4) 62ψ,ω 71ψ,ω 714ω 714ζ,ω 734ψ,ω 8162ψ,ω - -ζ
(28,14,8,6,5) 62ψ,ω 619ψ,ω 623ω 623ζ,ω 734ψ 810ψ - -ζ
(28,15,8,6,5) 62ψ,ω 6165ψ,ω 6566ω 6566ζ,ω 734ψ,ω 893ψ - -ζ
(28,16,8,6,5) 62ψ,ω 6165ψ,ω 6595ω 6595ζ,ω 734ψ,ω 893ψ,ω - -ζ
(28,15,9,7,5) 62ψ,ω 71ψ,ω 73ω 73ζ,ω 734ψ,ω 8167ψ - -ζ
(28,16,9,7,5) 62ψ,ω 71ψ,ω 76ω 76ζ,ω 734ψ,ω 8167ψ,ω - -ζ
(28,16,10,8,5) 62ψ,ω 71ψ,ω 720ω 720ζ,ω 734ψ,ω 8167ψ,ω - -ζ
(28,15,9,7,6) 62ψ,ω 71ψ,ω 73ω 73ζ,ω 734ψ,ω 8167ψ - -ζ
(28,16,9,7,6) 62ψ,ω 71ψ,ω 76ω 76ζ,ω 734ψ,ω 8167ψ,ω - -ζ
(28,16,10,8,6) 62ψ,ω 71ψ,ω 720ω 720ζ,ω 734ψ,ω 8167ψ,ω - -ζ
(28,16,10,8,7) 62ψ,ω 71ψ,ω 720ω 720ζ,ω 734ψ,ω 8167ψ,ω - -ζ
(29,15,8,6,3) 62ψ,ω 6142ψ,ω 6486ψ,ω 6503ω 728ψ,ω 856ψ 867ψ 867 1112
(29,16,8,6,3) 62ψ,ω 6142ψ,ω 6508ψ,ω 6533ω 728ψ,ω 856ψ,ω 867ψ 867 1103
(29,15,8,6,4) 62ψ,ω 6165ψ,ω 6566ψ,ω 6585ω 734ψ,ω 893ψ 8110ψ -
(29,16,8,6,4) 62ψ,ω 6165ψ,ω 6595ψ,ω 6622ω 734ψ,ω 893ψ,ω 8110ψ -
(29,15,9,7,4) 62ψ,ω 71ψ,ω 73ψ,ω 74ω 734ψ,ω 8162ψ -ψ -
(29,16,9,7,4) 62ψ,ω 71ψ,ω 76ψ,ω 79ω 734ψ,ω 8162ψ,ω -ψ -
(29,17,9,7,4) 62ψ,ω 71ψ,ω 76ψ,ω 710ω 734ψ,ω 8162ψ,ω -ψ,ω -
(29,16,10,8,4) 62ψ,ω 71ψ,ω 714ψ,ω 724ω 734ψ,ω 8162ψ,ω -ψ -
(29,17,10,8,4) 62ψ,ω 71ψ,ω 714ψ,ω 730ω 734ψ,ω 8162ψ,ω -ψ,ω -
(29,15,8,6,5) 62ψ,ω 6165ψ,ω 6566ψ,ω 6585ω 734ψ,ω 893ψ -ψ -
(29,16,8,6,5) 62ψ,ω 6165ψ,ω 6595ψ,ω 6622ω 734ψ,ω 893ψ,ω -ψ -
(29,15,9,7,5) 62ψ,ω 71ψ,ω 73ψ,ω 74ω 734ψ,ω 8167ψ -ψ -
(29,16,9,7,5) 62ψ,ω 71ψ,ω 76ψ,ω 79ω 734ψ,ω 8167ψ,ω -ψ -
(29,17,9,7,5) 62ψ,ω 71ψ,ω 76ψ,ω 710ω 734ψ,ω 8167ψ,ω -ψ,ω -
(29,16,10,8,5) 62ψ,ω 71ψ,ω 720ψ,ω 736ω 734ψ,ω 8167ψ,ω -ψ -
(29,17,10,8,5) 62ψ,ω 71ψ,ω 720ψ,ω 748ω 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,9,5) 62ψ,ω 71ψ,ω 720ψ,ω 763ω 734ψ,ω 8167ψ,ω -ψ,ω -
(29,15,9,7,6) 62ψ,ω 71ψ,ω 73ψ,ω 74ω 734ψ,ω 8167ψ -ψ -
(29,16,9,7,6) 62ψ,ω 71ψ,ω 76ψ,ω 79ω 734ψ,ω 8167ψ,ω -ψ -
(29,17,9,7,6) 62ψ,ω 71ψ,ω 76ψ,ω 710ω 734ψ,ω 8167ψ,ω -ψ,ω -
(29,16,10,8,6) 62ψ,ω 71ψ,ω 720ψ,ω 736ω 734ψ,ω 8167ψ,ω -ψ -
(29,17,10,8,6) 62ψ,ω 71ψ,ω 720ψ,ω 748ω 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,9,6) 62ψ,ω 71ψ,ω 720ψ,ω 770ω 734ψ,ω 8167ψ,ω -ψ,ω -
(29,16,10,8,7) 62ψ,ω 71ψ,ω 720ψ,ω 736ω 734ψ,ω 8167ψ,ω -ψ -
(29,17,10,8,7) 62ψ,ω 71ψ,ω 720ψ,ω 748ω 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,9,7) 62ψ,ω 71ψ,ω 720ψ,ω 770ω 734ψ,ω 8167ψ,ω -ψ,ω -
(29,17,11,9,8) 62ψ,ω 71ψ,ω 720ψ,ω 770ω 734ψ,ω 8167ψ,ω -ψ,ω -