Information on Result #1312635
Linear OA(8165, 3429, F8, 49) (dual of [3429, 3264, 50]-code), using 3263 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 7 times 0, 1, 9 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 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, 24 times 0, 1, 25 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 29 times 0, 1, 31 times 0, 1, 33 times 0, 1, 34 times 0, 1, 36 times 0, 1, 37 times 0, 1, 39 times 0, 1, 41 times 0, 1, 43 times 0, 1, 45 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 58 times 0, 1, 62 times 0, 1, 64 times 0, 1, 67 times 0, 1, 70 times 0, 1, 74 times 0, 1, 76 times 0, 1, 80 times 0, 1, 84 times 0, 1, 88 times 0, 1, 92 times 0, 1, 95 times 0, 1, 100 times 0, 1, 105 times 0, 1, 109 times 0, 1, 114 times 0, 1, 120 times 0, 1, 125 times 0, 1, 130 times 0, 1, 136 times 0, 1, 143 times 0) based on linear OA(849, 50, F8, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,8)), using
- dual of repetition code with length 50 [i]
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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(8165, 3429, F8, 2, 49) (dual of [(3429, 2), 6693, 50]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(8165, 3429, F8, 3, 49) (dual of [(3429, 3), 10122, 50]-NRT-code) | [i] | ||
3 | Digital (116, 165, 3429)-net over F8 | [i] |