Information on Result #639527
Linear OA(8171, 213, F8, 99) (dual of [213, 42, 100]-code), using concatenation of two codes based on
- linear OA(6450, 71, F64, 49) (dual of [71, 21, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(6450, 79, F64, 49) (dual of [79, 29, 50]-code), using
- algebraic-geometric code AG(F,29P) [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(6450, 79, F64, 49) (dual of [79, 29, 50]-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(8170, 212, F8, 98) (dual of [212, 42, 99]-code) | [i] | Truncation | |
| 2 | Linear OOA(8171, 106, F8, 2, 99) (dual of [(106, 2), 41, 100]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8171, 71, F8, 3, 99) (dual of [(71, 3), 42, 100]-NRT-code) | [i] | ||