Information on Result #1308727
Linear OA(4231, 4957, F4, 49) (dual of [4957, 4726, 50]-code), using 4725 step Varšamov–Edel lengthening with (ri) = (14, 6, 3, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 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, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 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, 4 times 0, 1, 5 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, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 18 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 20 times 0, 1, 21 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 23 times 0, 1, 25 times 0, 1, 25 times 0, 1, 26 times 0, 1, 26 times 0, 1, 28 times 0, 1, 28 times 0, 1, 29 times 0, 1, 31 times 0, 1, 31 times 0, 1, 32 times 0, 1, 33 times 0, 1, 34 times 0, 1, 35 times 0, 1, 37 times 0, 1, 37 times 0, 1, 39 times 0, 1, 39 times 0, 1, 41 times 0, 1, 42 times 0, 1, 44 times 0, 1, 45 times 0, 1, 46 times 0, 1, 48 times 0, 1, 49 times 0, 1, 51 times 0, 1, 52 times 0, 1, 53 times 0, 1, 56 times 0, 1, 57 times 0, 1, 59 times 0, 1, 60 times 0, 1, 62 times 0, 1, 65 times 0, 1, 66 times 0, 1, 68 times 0, 1, 70 times 0, 1, 73 times 0, 1, 74 times 0, 1, 77 times 0, 1, 79 times 0, 1, 82 times 0, 1, 84 times 0, 1, 86 times 0, 1, 89 times 0, 1, 92 times 0, 1, 94 times 0, 1, 98 times 0, 1, 100 times 0, 1, 103 times 0, 1, 106 times 0, 1, 110 times 0, 1, 113 times 0, 1, 116 times 0, 1, 119 times 0, 1, 123 times 0, 1, 127 times 0, 1, 131 times 0, 1, 134 times 0, 1, 139 times 0) based on linear OA(449, 50, F4, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,4)), 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(4231, 4957, F4, 2, 49) (dual of [(4957, 2), 9683, 50]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4231, 4957, F4, 3, 49) (dual of [(4957, 3), 14640, 50]-NRT-code) | [i] | ||
| 3 | Digital (182, 231, 4957)-net over F4 | [i] | ||