Information on Result #636266
Linear OA(4258, 492, F4, 81) (dual of [492, 234, 82]-code), using concatenation of two codes based on
- linear OA(6445, 123, F64, 40) (dual of [123, 78, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(6445, 127, F64, 40) (dual of [127, 82, 41]-code), using
- algebraic-geometric code AG(F,86P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- discarding factors / shortening the dual code based on linear OA(6445, 127, F64, 40) (dual of [127, 82, 41]-code), using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(4257, 491, F4, 80) (dual of [491, 234, 81]-code) | [i] | Truncation | |
| 2 | Linear OOA(4258, 246, F4, 2, 81) (dual of [(246, 2), 234, 82]-NRT-code) | [i] | OOA Folding | |