Information on Result #637185
Linear OA(4260, 335, F4, 125) (dual of [335, 75, 126]-code), using concatenation of two codes based on
- linear OA(6442, 67, F64, 41) (dual of [67, 25, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(6442, 79, F64, 41) (dual of [79, 37, 42]-code), using
- algebraic-geometric code AG(F,37P) [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(6442, 79, F64, 41) (dual of [79, 37, 42]-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(4260, 335, F4, 124) (dual of [335, 75, 125]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4259, 334, F4, 124) (dual of [334, 75, 125]-code) | [i] | Truncation | |
| 3 | Linear OOA(4260, 167, F4, 2, 125) (dual of [(167, 2), 74, 126]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4260, 111, F4, 3, 125) (dual of [(111, 3), 73, 126]-NRT-code) | [i] | ||