Information on Result #637100
Linear OA(4251, 350, F4, 110) (dual of [350, 99, 111]-code), using concatenation of two codes based on
- linear OA(6437, 70, F64, 36) (dual of [70, 33, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, 79, F64, 36) (dual of [79, 42, 37]-code), using
- algebraic-geometric code AG(F,42P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- discarding factors / shortening the dual code based on linear OA(6437, 79, F64, 36) (dual of [79, 42, 37]-code), using
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
Mode: Constructive and 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 OA(4251, 350, F4, 109) (dual of [350, 99, 110]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4252, 351, F4, 110) (dual of [351, 99, 111]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4250, 349, F4, 109) (dual of [349, 99, 110]-code) | [i] | Truncation | |
| 4 | Linear OA(4249, 348, F4, 108) (dual of [348, 99, 109]-code) | [i] | ||
| 5 | Linear OOA(4251, 175, F4, 2, 110) (dual of [(175, 2), 99, 111]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4251, 116, F4, 3, 110) (dual of [(116, 3), 97, 111]-NRT-code) | [i] | ||