Information on Result #639639
Linear OA(8112, 128, F8, 74) (dual of [128, 16, 75]-code), using concatenation of two codes based on
- linear OA(6424, 32, F64, 24) (dual of [32, 8, 25]-code or 32-arc in PG(23,64)), using
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- Reed–Solomon code RS(40,64) [i]
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- linear OA(82, 4, F8, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8111, 127, F8, 73) (dual of [127, 16, 74]-code) | [i] | Truncation | |
| 2 | Linear OA(8110, 126, F8, 72) (dual of [126, 16, 73]-code) | [i] | ||
| 3 | Linear OA(8109, 125, F8, 71) (dual of [125, 16, 72]-code) | [i] | ||
| 4 | Linear OA(8107, 123, F8, 69) (dual of [123, 16, 70]-code) | [i] | ||
| 5 | Linear OOA(8112, 64, F8, 2, 74) (dual of [(64, 2), 16, 75]-NRT-code) | [i] | OOA Folding | |