Information on Result #1491677
Linear OOA(8169, 1583, F8, 3, 51) (dual of [(1583, 3), 4580, 52]-NRT-code), using OOA 2-folding based on linear OOA(8169, 3166, F8, 2, 51) (dual of [(3166, 2), 6163, 52]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 3166, F8, 51) (dual of [3166, 2997, 52]-code), using
- 2996 step Varšamov–Edel lengthening with (ri) = (8, 4, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 4 times 0, 1, 5 times 0, 1, 6 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 12 times 0, 1, 14 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 19 times 0, 1, 19 times 0, 1, 21 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 25 times 0, 1, 25 times 0, 1, 27 times 0, 1, 28 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 33 times 0, 1, 35 times 0, 1, 36 times 0, 1, 38 times 0, 1, 40 times 0, 1, 41 times 0, 1, 43 times 0, 1, 45 times 0, 1, 48 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 59 times 0, 1, 61 times 0, 1, 63 times 0, 1, 67 times 0, 1, 69 times 0, 1, 73 times 0, 1, 76 times 0, 1, 79 times 0, 1, 82 times 0, 1, 86 times 0, 1, 90 times 0, 1, 93 times 0, 1, 98 times 0, 1, 102 times 0, 1, 106 times 0, 1, 111 times 0, 1, 116 times 0, 1, 121 times 0, 1, 126 times 0) [i] based on linear OA(851, 52, F8, 51) (dual of [52, 1, 52]-code or 52-arc in PG(50,8)), using
- dual of repetition code with length 52 [i]
- 2996 step Varšamov–Edel lengthening with (ri) = (8, 4, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 4 times 0, 1, 5 times 0, 1, 6 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 12 times 0, 1, 14 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 19 times 0, 1, 19 times 0, 1, 21 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 25 times 0, 1, 25 times 0, 1, 27 times 0, 1, 28 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 33 times 0, 1, 35 times 0, 1, 36 times 0, 1, 38 times 0, 1, 40 times 0, 1, 41 times 0, 1, 43 times 0, 1, 45 times 0, 1, 48 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 59 times 0, 1, 61 times 0, 1, 63 times 0, 1, 67 times 0, 1, 69 times 0, 1, 73 times 0, 1, 76 times 0, 1, 79 times 0, 1, 82 times 0, 1, 86 times 0, 1, 90 times 0, 1, 93 times 0, 1, 98 times 0, 1, 102 times 0, 1, 106 times 0, 1, 111 times 0, 1, 116 times 0, 1, 121 times 0, 1, 126 times 0) [i] based on linear OA(851, 52, F8, 51) (dual of [52, 1, 52]-code or 52-arc in PG(50,8)), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.