Information on Result #637287
Linear OA(4156, 186, F4, 87) (dual of [186, 30, 88]-code), using concatenation of two codes based on
- linear OA(6421, 31, F64, 21) (dual of [31, 10, 22]-code or 31-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(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(4156, 186, F4, 86) (dual of [186, 30, 87]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4156, 186, F4, 85) (dual of [186, 30, 86]-code) | [i] | ||
| 3 | Linear OA(4157, 187, F4, 87) (dual of [187, 30, 88]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4155, 185, F4, 86) (dual of [185, 30, 87]-code) | [i] | Truncation | |
| 5 | Linear OA(4154, 184, F4, 85) (dual of [184, 30, 86]-code) | [i] | ||
| 6 | Linear OA(4153, 183, F4, 84) (dual of [183, 30, 85]-code) | [i] | ||
| 7 | Linear OA(4152, 182, F4, 83) (dual of [182, 30, 84]-code) | [i] | ||
| 8 | Linear OA(4151, 181, F4, 82) (dual of [181, 30, 83]-code) | [i] | ||
| 9 | Linear OA(4149, 179, F4, 80) (dual of [179, 30, 81]-code) | [i] | ||
| 10 | Linear OOA(4156, 93, F4, 2, 87) (dual of [(93, 2), 30, 88]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4156, 62, F4, 3, 87) (dual of [(62, 3), 30, 88]-NRT-code) | [i] | ||