Information on Result #1308694
Linear OA(4227, 4976, F4, 48) (dual of [4976, 4749, 49]-code), using 4748 step Varšamov–Edel lengthening with (ri) = (13, 6, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 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, 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, 4 times 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, 6 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, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 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, 14 times 0, 1, 14 times 0, 1, 15 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 18 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 21 times 0, 1, 21 times 0, 1, 22 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 25 times 0, 1, 26 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 29 times 0, 1, 30 times 0, 1, 31 times 0, 1, 32 times 0, 1, 33 times 0, 1, 34 times 0, 1, 35 times 0, 1, 36 times 0, 1, 37 times 0, 1, 38 times 0, 1, 40 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, 54 times 0, 1, 56 times 0, 1, 57 times 0, 1, 60 times 0, 1, 61 times 0, 1, 63 times 0, 1, 65 times 0, 1, 66 times 0, 1, 69 times 0, 1, 71 times 0, 1, 73 times 0, 1, 76 times 0, 1, 78 times 0, 1, 80 times 0, 1, 83 times 0, 1, 85 times 0, 1, 88 times 0, 1, 90 times 0, 1, 93 times 0, 1, 96 times 0, 1, 99 times 0, 1, 102 times 0, 1, 105 times 0, 1, 109 times 0, 1, 112 times 0, 1, 115 times 0, 1, 118 times 0, 1, 122 times 0, 1, 126 times 0, 1, 130 times 0, 1, 134 times 0, 1, 138 times 0, 1, 142 times 0) based on linear OA(448, 49, F4, 48) (dual of [49, 1, 49]-code or 49-arc in PG(47,4)), using
- dual of repetition code with length 49 [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(4227, 4976, F4, 2, 48) (dual of [(4976, 2), 9725, 49]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4227, 4976, F4, 3, 48) (dual of [(4976, 3), 14701, 49]-NRT-code) | [i] | ||
| 3 | Digital (179, 227, 4976)-net over F4 | [i] | ||
| 4 | Linear OOA(4227, 2488, F4, 2, 48) (dual of [(2488, 2), 4749, 49]-NRT-code) | [i] | OOA Folding | |