Information on Result #661556
Linear OA(8168, 246, F8, 83) (dual of [246, 78, 84]-code), using concatenation of two codes based on
- linear OA(6443, 82, F64, 41) (dual of [82, 39, 42]-code), using
- construction X applied to AG(F,37P) ⊂ AG(F,39P) [i] 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
- linear OA(6440, 79, F64, 39) (dual of [79, 39, 40]-code), using algebraic-geometric code AG(F,39P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,37P) ⊂ AG(F,39P) [i] based on
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(8168, 246, F8, 82) (dual of [246, 78, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8169, 247, F8, 83) (dual of [247, 78, 84]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(8170, 248, F8, 83) (dual of [248, 78, 84]-code) | [i] | ||
| 4 | Linear OA(8167, 245, F8, 82) (dual of [245, 78, 83]-code) | [i] | Truncation | |
| 5 | Linear OOA(8168, 123, F8, 2, 83) (dual of [(123, 2), 78, 84]-NRT-code) | [i] | OOA Folding | |