N = 38, t = 5, v = 2 - Classification of (λ; y)-balanced CAs with N = 38 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 (19,9,4,2,1) (18,9,4,2,1) (19,8,4,2,1) (18,8,4,2,1) (17,8,4,2,1) (16,8,4,2,1)
y CAKλy# time (s) CAKλy# time (s) CAKλy# time (s) CAKλy# time (s) CAKλy# time (s) CAKλy# time (s)
(19,10,5,3,2) 0 ζ κ ζ,κ ζ,κ ζ,κ
(19,10,6,3,2) 62 0 62ζ 62κ 62ζ,κ 62ζ,κ 62ζ,κ
(19,10,6,4,2) 66 0 66ζ 66κ 66ζ,κ 66ζ,κ 66ζ,κ
(19,10,6,4,3) 66 0 66ζ 66κ 66ζ,κ 66ζ,κ 66ζ,κ
(20,10,5,3,2) ψ 0 ψ,κ 0 ζ ζ
(20,10,6,3,2) 62ψ 63 0 62ψ,κ 66 0 66ζ 66ζ
(20,11,6,3,2) 62ψ,ω 64 0 62ψ 67 0 67ζ 67ζ
(20,10,6,4,2) 66ψ 67 0 66ψ,κ 610 0 610ζ 610ζ
(20,11,6,4,2) 66ψ,ω 68 0 620ψ 6358 1 6358ζ 6358ζ
(20,11,7,4,2) 66ψ,ω 68 0 622ψ 6528 1 6528ζ 6528ζ
(20,10,6,4,3) 66ψ 67 0 66ψ,κ 610 0 610ζ 610ζ
(20,11,6,4,3) 66ψ,ω 68 0 630ψ 6513 0 6513ζ 6513ζ
(20,11,7,4,3) 66ψ,ω 68 1 644ψ 61233 1 61233ζ 61233ζ
(20,11,7,5,3) 66ψ,ω 68 0 650ψ 61403 1 61403ζ 61403ζ
(20,11,7,5,4) 66ψ,ω 68 0 654ψ 61440 1 61440ζ 61440ζ
(19,11,6,3,2) 62ω 62ζ,ω 62 0 62ζ 62ζ 62ζ
(19,11,6,4,2) 66ω 66ζ,ω 620 0 620ζ 620ζ 620ζ
(19,11,7,4,2) 66ω 66ζ,ω 622 0 622ζ 622ζ 622ζ
(19,11,6,4,3) 66ω 66ζ,ω 630 0 630ζ 630ζ 630ζ
(19,11,7,4,3) 66ω 66ζ,ω 644 0 644ζ 644ζ 644ζ
(19,11,7,5,3) 66ω 66ζ,ω 650 0 650ζ 650ζ 650ζ
(19,11,7,5,4) 66ω 66ζ,ω 654 0 654ζ 654ζ 654ζ
(20,12,6,3,2) 62ψ,ω 64ω 62ψ,ω 67 0 67ζ 67ζ
(20,12,6,4,2) 66ψ,ω 68ω 620ψ,ω 6403 0 6403ζ 6403ζ
(20,12,7,4,2) 66ψ,ω 68ω 622ψ,ω 6675 0 6675ζ 6675ζ
(20,12,8,4,2) 66ψ,ω 68ω 622ψ,ω 6681 1 6681ζ 6681ζ
(20,12,6,4,3) 66ψ,ω 68ω 630ψ,ω 6581 1 6581ζ 6581ζ
(20,12,7,4,3) 66ψ,ω 68ω 644ψ,ω 61885 2 61885ζ 61885ζ
(20,12,8,4,3) 66ψ,ω 68ω 644ψ,ω 61926 1 61926ζ 61926ζ
(20,12,7,5,3) 66ψ,ω 68ω 650ψ,ω 62383 2 62383ζ 62383ζ
(20,12,8,5,3) 66ψ,ω 68ω 650ψ,ω 62551 2 62551ζ 62551ζ
(20,12,8,6,3) 66ψ,ω 68ω 650ψ,ω 62566 1 62566ζ 62566ζ
(20,12,7,5,4) 66ψ,ω 68ω 654ψ,ω 62486 2 62486ζ 62486ζ
(20,12,8,5,4) 66ψ,ω 68ω 654ψ,ω 62714 2 62714ζ 62714ζ
(20,12,8,6,4) 66ψ,ω 68ω 654ψ,ω 62759 1 62759ζ 62759ζ
(20,12,8,6,5) 66ψ,ω 68ω 654ψ,ω 62768 2 62768ζ 62768ζ
(21,11,6,3,2) 62ψ,ω 64ψ 62ψ 67ψ 68 0 68ζ
(21,12,6,3,2) 62ψ,ω 64ψ,ω 62ψ,ω 67ψ 69 0 69ζ
(21,11,6,4,2) 66ψ,ω 68ψ 620ψ 6358ψ 6463 1 6463ζ
(21,12,6,4,2) 66ψ,ω 68ψ,ω 620ψ,ω 6403ψ 6553 0 6553ζ
(21,11,7,4,2) 66ψ,ω 68ψ 622ψ 6528ψ 6735 1 6735ζ
(21,12,7,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6675ψ 61291 1 61291ζ
(21,13,7,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6675ψ,ω 61313 1 61313ζ
(21,12,8,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6681ψ 61321 1 61321ζ
(21,13,8,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6681ψ,ω 61359 0 61359ζ
(21,11,6,4,3) 66ψ,ω 68ψ 630ψ 6513ψ 6650 0 6650ζ
(21,12,6,4,3) 66ψ,ω 68ψ,ω 630ψ,ω 6581ψ 6765 1 6765ζ
(21,11,7,4,3) 66ψ,ω 68ψ 644ψ 61233ψ 61804 2 61804ζ
(21,12,7,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61885ψ 64207 4 64207ζ
(21,13,7,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61885ψ,ω 64311 4 64311ζ
(21,12,8,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61926ψ 64334 4 64334ζ
(21,13,8,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61926ψ,ω 64494 3 64494ζ
(21,11,7,5,3) 66ψ,ω 68ψ 650ψ 61403ψ 62088 2 62088ζ
(21,12,7,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62383ψ 65952 4 65952ζ
(21,13,7,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62383ψ,ω 66202 4 66202ζ
(21,12,8,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ 66844 6 66844ζ
(21,13,8,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ,ω 67668 7 67668ζ
(21,13,9,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ,ω 67708 6 67708ζ
(21,12,8,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ 66892 4 66892ζ
(21,13,8,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ,ω 67767 5 67767ζ
(21,13,9,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ,ω 67831 4 67831ζ
(21,11,7,5,4) 66ψ,ω 68ψ 654ψ 61440ψ 62149 1 62149ζ
(21,12,7,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62486ψ 66263 5 66263ζ
(21,13,7,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62486ψ,ω 66543 4 66543ζ
(21,12,8,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ 67501 6 67501ζ
(21,13,8,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ,ω 68587 8 68587ζ
(21,13,9,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ,ω 68659 7 68659ζ
(21,12,8,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ 67711 4 67711ζ
(21,13,8,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69040 5 69040ζ
(21,13,9,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69252 7 69252ζ
(21,13,9,7,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69270 4 69270ζ
(21,12,8,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ 67747 4 67747ζ
(21,13,8,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69115 6 69115ζ
(21,13,9,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69371 7 69371ζ
(21,13,9,7,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69417 4 69417ζ
(21,13,9,7,6) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69427 5 69427ζ
(22,11,6,3,2) 62ψ,ω 64ψ 62ψ 67ψ 68ψ 68 0
(22,12,6,3,2) 62ψ,ω 64ψ,ω 62ψ,ω 67ψ 69ψ 69 0
(22,11,6,4,2) 66ψ,ω 68ψ 620ψ 6358ψ 6463ψ 6466 1
(22,12,6,4,2) 66ψ,ω 68ψ,ω 620ψ,ω 6403ψ 6553ψ 6563 0
(22,11,7,4,2) 66ψ,ω 68ψ 622ψ 6528ψ 6735ψ 6739 1
(22,12,7,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6675ψ 61291ψ 61349 1
(22,13,7,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6675ψ,ω 61313ψ 61385 1
(22,14,7,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6675ψ,ω 61313ψ,ω 61387 1
(22,12,8,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6681ψ 61321ψ 61385 1
(22,13,8,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6681ψ,ω 61359ψ 61447 1
(22,14,8,4,2) 66ψ,ω 68ψ,ω 622ψ,ω 6681ψ,ω 61359ψ,ω 61451 1
(22,11,6,4,3) 66ψ,ω 68ψ 630ψ 6513ψ 6650ψ 6654 1
(22,12,6,4,3) 66ψ,ω 68ψ,ω 630ψ,ω 6581ψ 6765ψ 6776 0
(22,11,7,4,3) 66ψ,ω 68ψ 644ψ 61233ψ 61804ψ 61817 2
(22,12,7,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61885ψ 64207ψ 64449 4
(22,13,7,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61885ψ,ω 64311ψ 64641 5
(22,14,7,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61885ψ,ω 64311ψ,ω 64647 5
(22,12,8,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61926ψ 64334ψ 64606 4
(22,13,8,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61926ψ,ω 64494ψ 64896 4
(22,14,8,4,3) 66ψ,ω 68ψ,ω 644ψ,ω 61926ψ,ω 64494ψ,ω 64910 4
(22,11,7,5,3) 66ψ,ω 68ψ 650ψ 61403ψ 62088ψ 62105 1
(22,12,7,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62383ψ 65952ψ 66356 5
(22,13,7,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62383ψ,ω 66202ψ 66800 5
(22,14,7,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62383ψ,ω 66202ψ,ω 66812 4
(22,12,8,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ 66844ψ 67409 6
(22,13,8,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ,ω 67668ψ 68893 9
(22,14,8,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ,ω 67668ψ,ω 68989 8
(22,13,9,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ,ω 67708ψ 68973 7
(22,14,9,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ,ω 67708ψ,ω 69105 9
(22,14,10,5,3) 66ψ,ω 68ψ,ω 650ψ,ω 62551ψ,ω 67708ψ,ω 69108 7
(22,12,8,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ 66892ψ 67472 3
(22,13,8,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ,ω 67767ψ 69040 6
(22,14,8,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ,ω 67767ψ,ω 69151 6
(22,13,9,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ,ω 67831ψ 69168 5
(22,14,9,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ,ω 67831ψ,ω 69336 6
(22,14,10,6,3) 66ψ,ω 68ψ,ω 650ψ,ω 62566ψ,ω 67831ψ,ω 69346 4
(22,11,7,5,4) 66ψ,ω 68ψ 654ψ 61440ψ 62149ψ 62168 2
(22,12,7,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62486ψ 66263ψ 66702 4
(22,13,7,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62486ψ,ω 66543ψ 67200 5
(22,14,7,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62486ψ,ω 66543ψ,ω 67216 5
(22,12,8,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ 67501ψ 68155 7
(22,13,8,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ,ω 68587ψ 610094 9
(22,14,8,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ,ω 68587ψ,ω 610227 9
(22,13,9,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ,ω 68659ψ 610236 9
(22,14,9,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ,ω 68659ψ,ω 610429 9
(22,14,10,5,4) 66ψ,ω 68ψ,ω 654ψ,ω 62714ψ,ω 68659ψ,ω 610434 8
(22,12,8,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ 67711ψ 68410 4
(22,13,8,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69040ψ 610755 8
(22,14,8,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69040ψ,ω 610933 7
(22,13,9,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69252ψ 611179 9
(22,14,9,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69252ψ,ω 611540 11
(22,14,10,6,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69252ψ,ω 611577 8
(22,13,9,7,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69270ψ 611215 6
(22,14,9,7,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69270ψ,ω 611594 7
(22,14,10,7,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69270ψ,ω 611647 7
(22,14,10,8,4) 66ψ,ω 68ψ,ω 654ψ,ω 62759ψ,ω 69270ψ,ω 611651 6
(22,12,8,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ 67747ψ 68455 4
(22,13,8,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69115ψ 610866 8
(22,14,8,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69115ψ,ω 611053 7
(22,13,9,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69371ψ 611373 9
(22,14,9,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69371ψ,ω 611770 11
(22,14,10,6,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69371ψ,ω 611816 9
(22,13,9,7,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69417ψ 611465 5
(22,14,9,7,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69417ψ,ω 611908 7
(22,14,10,7,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69417ψ,ω 611995 9
(22,14,10,8,5) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69417ψ,ω 612008 6
(22,13,9,7,6) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69427ψ 611485 6
(22,14,9,7,6) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69427ψ,ω 611938 7
(22,14,10,7,6) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69427ψ,ω 612035 9
(22,14,10,8,6) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69427ψ,ω 612058 6
(22,14,10,8,7) 66ψ,ω 68ψ,ω 654ψ,ω 62768ψ,ω 69427ψ,ω 612065 6