Information on Result #639795
Linear OA(8172, 192, F8, 116) (dual of [192, 20, 117]-code), using concatenation of two codes based on
- linear OA(6438, 48, F64, 38) (dual of [48, 10, 39]-code or 48-arc in PG(37,64)), using
- discarding factors / shortening the dual code based on linear OA(6438, 64, F64, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), using
- Reed–Solomon code RS(26,64) [i]
- discarding factors / shortening the dual code based on linear OA(6438, 64, F64, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8172, 192, F8, 115) (dual of [192, 20, 116]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8173, 193, F8, 116) (dual of [193, 20, 117]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(8171, 191, F8, 115) (dual of [191, 20, 116]-code) | [i] | Truncation | |
| 4 | Linear OA(8169, 189, F8, 113) (dual of [189, 20, 114]-code) | [i] | ||
| 5 | Linear OA(8167, 187, F8, 111) (dual of [187, 20, 112]-code) | [i] | ||
| 6 | Linear OOA(8172, 96, F8, 2, 116) (dual of [(96, 2), 20, 117]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8172, 64, F8, 3, 116) (dual of [(64, 3), 20, 117]-NRT-code) | [i] | ||