Information on Result #637409
Linear OA(4258, 330, F4, 127) (dual of [330, 72, 128]-code), using concatenation of two codes based on
- linear OA(6431, 55, F64, 31) (dual of [55, 24, 32]-code or 55-arc in PG(30,64)), using
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
- Reed–Solomon code RS(33,64) [i]
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), 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(4258, 330, F4, 126) (dual of [330, 72, 127]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4258, 330, F4, 125) (dual of [330, 72, 126]-code) | [i] | ||
| 3 | Linear OA(4258, 330, F4, 124) (dual of [330, 72, 125]-code) | [i] | ||
| 4 | Linear OA(4259, 331, F4, 127) (dual of [331, 72, 128]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(4260, 332, F4, 127) (dual of [332, 72, 128]-code) | [i] | ||
| 6 | Linear OA(4257, 329, F4, 126) (dual of [329, 72, 127]-code) | [i] | Truncation | |
| 7 | Linear OA(4256, 328, F4, 125) (dual of [328, 72, 126]-code) | [i] | ||
| 8 | Linear OA(4255, 327, F4, 124) (dual of [327, 72, 125]-code) | [i] | ||
| 9 | Linear OA(4254, 326, F4, 123) (dual of [326, 72, 124]-code) | [i] | ||
| 10 | Linear OOA(4258, 165, F4, 2, 127) (dual of [(165, 2), 72, 128]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4258, 110, F4, 3, 127) (dual of [(110, 3), 72, 128]-NRT-code) | [i] | ||