Information on Result #639836
Linear OA(8126, 140, F8, 87) (dual of [140, 14, 88]-code), using concatenation of two codes based on
- linear OA(6421, 28, F64, 21) (dual of [28, 7, 22]-code or 28-arc in PG(20,64)), using
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- Reed–Solomon code RS(43,64) [i]
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), 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(8125, 139, F8, 86) (dual of [139, 14, 87]-code) | [i] | Truncation | |
| 2 | Linear OA(8124, 138, F8, 85) (dual of [138, 14, 86]-code) | [i] | ||
| 3 | Linear OA(8123, 137, F8, 84) (dual of [137, 14, 85]-code) | [i] | ||
| 4 | Linear OA(8120, 134, F8, 81) (dual of [134, 14, 82]-code) | [i] | ||
| 5 | Linear OA(8119, 133, F8, 80) (dual of [133, 14, 81]-code) | [i] | ||
| 6 | Linear OA(8117, 131, F8, 78) (dual of [131, 14, 79]-code) | [i] | ||
| 7 | Linear OOA(8126, 70, F8, 2, 87) (dual of [(70, 2), 14, 88]-NRT-code) | [i] | OOA Folding | |