Information on Result #637267
Linear OA(4150, 186, F4, 79) (dual of [186, 36, 80]-code), using concatenation of two codes based on
- linear OA(6419, 31, F64, 19) (dual of [31, 12, 20]-code or 31-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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(4150, 186, F4, 78) (dual of [186, 36, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4151, 187, F4, 79) (dual of [187, 36, 80]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4149, 185, F4, 78) (dual of [185, 36, 79]-code) | [i] | Truncation | |
| 4 | Linear OA(4148, 184, F4, 77) (dual of [184, 36, 78]-code) | [i] | ||
| 5 | Linear OA(4147, 183, F4, 76) (dual of [183, 36, 77]-code) | [i] | ||
| 6 | Linear OA(4146, 182, F4, 75) (dual of [182, 36, 76]-code) | [i] | ||
| 7 | Linear OA(4145, 181, F4, 74) (dual of [181, 36, 75]-code) | [i] | ||
| 8 | Linear OA(4143, 179, F4, 72) (dual of [179, 36, 73]-code) | [i] | ||
| 9 | Linear OOA(4150, 93, F4, 2, 79) (dual of [(93, 2), 36, 80]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4150, 62, F4, 3, 79) (dual of [(62, 3), 36, 80]-NRT-code) | [i] | ||