Information on Result #2208773
Linear OA(4258, 300, F4, 145) (dual of [300, 42, 146]-code), using strength reduction based on linear OA(4258, 300, F4, 147) (dual of [300, 42, 148]-code), using
- concatenation of two codes [i] based on
- linear OA(6436, 50, F64, 36) (dual of [50, 14, 37]-code or 50-arc in PG(35,64)), using
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), using
- Reed–Solomon code RS(28,64) [i]
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), 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
- linear OA(6436, 50, F64, 36) (dual of [50, 14, 37]-code or 50-arc in PG(35,64)), 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(4257, 299, F4, 144) (dual of [299, 42, 145]-code) | [i] | Truncation | |
| 2 | Linear OOA(4258, 100, F4, 3, 145) (dual of [(100, 3), 42, 146]-NRT-code) | [i] | OOA Folding | |