Information on Result #639887
Linear OA(8171, 185, F8, 123) (dual of [185, 14, 124]-code), using concatenation of two codes based on
- linear OA(6430, 37, F64, 30) (dual of [37, 7, 31]-code or 37-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- linear OA(83, 5, F8, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), 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, 185, F8, 122) (dual of [185, 14, 123]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8171, 185, F8, 121) (dual of [185, 14, 122]-code) | [i] | ||
| 3 | Linear OA(8171, 185, F8, 120) (dual of [185, 14, 121]-code) | [i] | ||
| 4 | Linear OA(8173, 187, F8, 123) (dual of [187, 14, 124]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OOA(8171, 92, F8, 2, 123) (dual of [(92, 2), 13, 124]-NRT-code) | [i] | OOA Folding | |