Information on Result #639412
Linear OA(8172, 252, F8, 83) (dual of [252, 80, 84]-code), using concatenation of two codes based on
- linear OA(6444, 84, F64, 41) (dual of [84, 40, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(6444, 103, F64, 41) (dual of [103, 59, 42]-code), using
- algebraic-geometric code AG(F,61P) [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(6444, 103, F64, 41) (dual of [103, 59, 42]-code), using
- 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(8171, 251, F8, 82) (dual of [251, 80, 83]-code) | [i] | Truncation | |
| 2 | Linear OOA(8172, 126, F8, 2, 83) (dual of [(126, 2), 80, 84]-NRT-code) | [i] | OOA Folding | |