Information on Result #639611
Linear OA(8106, 128, F8, 65) (dual of [128, 22, 66]-code), using concatenation of two codes based on
- linear OA(6421, 32, F64, 21) (dual of [32, 11, 22]-code or 32-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(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(8106, 128, F8, 64) (dual of [128, 22, 65]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8105, 127, F8, 64) (dual of [127, 22, 65]-code) | [i] | Truncation | |
| 3 | Linear OA(8103, 125, F8, 62) (dual of [125, 22, 63]-code) | [i] | ||
| 4 | Linear OOA(8106, 64, F8, 2, 65) (dual of [(64, 2), 22, 66]-NRT-code) | [i] | OOA Folding | |