Information on Result #639780
Linear OA(8166, 188, F8, 110) (dual of [188, 22, 111]-code), using concatenation of two codes based on
- linear OA(6436, 47, F64, 36) (dual of [47, 11, 37]-code or 47-arc in PG(35,64)), using
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), using
- Reed–Solomon code RS(28,64) [i]
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), 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(8166, 188, F8, 109) (dual of [188, 22, 110]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8165, 187, F8, 109) (dual of [187, 22, 110]-code) | [i] | Truncation | |
| 3 | Linear OA(8164, 186, F8, 108) (dual of [186, 22, 109]-code) | [i] | ||
| 4 | Linear OA(8163, 185, F8, 107) (dual of [185, 22, 108]-code) | [i] | ||
| 5 | Linear OA(8161, 183, F8, 105) (dual of [183, 22, 106]-code) | [i] | ||
| 6 | Linear OOA(8166, 94, F8, 2, 110) (dual of [(94, 2), 22, 111]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8166, 62, F8, 3, 110) (dual of [(62, 3), 20, 111]-NRT-code) | [i] | ||