Information on Result #636336
Linear OA(4239, 392, F4, 89) (dual of [392, 153, 90]-code), using concatenation of two codes based on
- linear OA(6447, 98, F64, 44) (dual of [98, 51, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(6447, 103, F64, 44) (dual of [103, 56, 45]-code), using
- algebraic-geometric code AG(F,58P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- discarding factors / shortening the dual code based on linear OA(6447, 103, F64, 44) (dual of [103, 56, 45]-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(4238, 391, F4, 88) (dual of [391, 153, 89]-code) | [i] | Truncation | |
2 | Linear OOA(4239, 196, F4, 2, 89) (dual of [(196, 2), 153, 90]-NRT-code) | [i] | OOA Folding | |
3 | Linear OOA(4239, 130, F4, 3, 89) (dual of [(130, 3), 151, 90]-NRT-code) | [i] |