Information on Result #637171
Linear OA(4259, 340, F4, 122) (dual of [340, 81, 123]-code), using concatenation of two codes based on
- linear OA(6441, 68, F64, 40) (dual of [68, 27, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, 79, F64, 40) (dual of [79, 38, 41]-code), using
- algebraic-geometric code AG(F,38P) [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(6441, 79, F64, 40) (dual of [79, 38, 41]-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(4259, 340, F4, 121) (dual of [340, 81, 122]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4259, 340, F4, 120) (dual of [340, 81, 121]-code) | [i] | ||
| 3 | Linear OA(4260, 341, F4, 122) (dual of [341, 81, 123]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4258, 339, F4, 121) (dual of [339, 81, 122]-code) | [i] | Truncation | |
| 5 | Linear OA(4257, 338, F4, 120) (dual of [338, 81, 121]-code) | [i] | ||
| 6 | Linear OOA(4259, 170, F4, 2, 122) (dual of [(170, 2), 81, 123]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4259, 113, F4, 3, 122) (dual of [(113, 3), 80, 123]-NRT-code) | [i] | ||