Information on Result #637470
Linear OA(4255, 300, F4, 143) (dual of [300, 45, 144]-code), using concatenation of two codes based on
- linear OA(6435, 50, F64, 35) (dual of [50, 15, 36]-code or 50-arc in PG(34,64)), using
- discarding factors / shortening the dual code based on linear OA(6435, 64, F64, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), using
- Reed–Solomon code RS(29,64) [i]
- discarding factors / shortening the dual code based on linear OA(6435, 64, F64, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4255, 300, F4, 142) (dual of [300, 45, 143]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4255, 300, F4, 141) (dual of [300, 45, 142]-code) | [i] | ||
| 3 | Linear OA(4256, 301, F4, 143) (dual of [301, 45, 144]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4257, 302, F4, 143) (dual of [302, 45, 144]-code) | [i] | ||
| 5 | Linear OA(4254, 299, F4, 142) (dual of [299, 45, 143]-code) | [i] | Truncation | |
| 6 | Linear OA(4253, 298, F4, 141) (dual of [298, 45, 142]-code) | [i] | ||
| 7 | Linear OA(4252, 297, F4, 140) (dual of [297, 45, 141]-code) | [i] | ||
| 8 | Linear OA(4251, 296, F4, 139) (dual of [296, 45, 140]-code) | [i] | ||
| 9 | Linear OA(4250, 295, F4, 138) (dual of [295, 45, 139]-code) | [i] | ||
| 10 | Linear OA(4248, 293, F4, 136) (dual of [293, 45, 137]-code) | [i] | ||
| 11 | Linear OOA(4255, 150, F4, 2, 143) (dual of [(150, 2), 45, 144]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4255, 100, F4, 3, 143) (dual of [(100, 3), 45, 144]-NRT-code) | [i] | ||