Information on Result #637310
Linear OA(4159, 180, F4, 95) (dual of [180, 21, 96]-code), using concatenation of two codes based on
- linear OA(6423, 30, F64, 23) (dual of [30, 7, 24]-code or 30-arc in PG(22,64)), using
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- Reed–Solomon code RS(41,64) [i]
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), 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(4159, 180, F4, 94) (dual of [180, 21, 95]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4159, 180, F4, 93) (dual of [180, 21, 94]-code) | [i] | ||
| 3 | Linear OA(4160, 181, F4, 95) (dual of [181, 21, 96]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4158, 179, F4, 94) (dual of [179, 21, 95]-code) | [i] | Truncation | |
| 5 | Linear OA(4157, 178, F4, 93) (dual of [178, 21, 94]-code) | [i] | ||
| 6 | Linear OA(4156, 177, F4, 92) (dual of [177, 21, 93]-code) | [i] | ||
| 7 | Linear OA(4155, 176, F4, 91) (dual of [176, 21, 92]-code) | [i] | ||
| 8 | Linear OA(4154, 175, F4, 90) (dual of [175, 21, 91]-code) | [i] | ||
| 9 | Linear OA(4152, 173, F4, 88) (dual of [173, 21, 89]-code) | [i] | ||
| 10 | Linear OOA(4159, 90, F4, 2, 95) (dual of [(90, 2), 21, 96]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4159, 60, F4, 3, 95) (dual of [(60, 3), 21, 96]-NRT-code) | [i] | ||