Information on Result #637391
Linear OA(4258, 336, F4, 123) (dual of [336, 78, 124]-code), using concatenation of two codes based on
- linear OA(6430, 56, F64, 30) (dual of [56, 26, 31]-code or 56-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), 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, 336, F4, 122) (dual of [336, 78, 123]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4259, 337, F4, 123) (dual of [337, 78, 124]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4260, 338, F4, 123) (dual of [338, 78, 124]-code) | [i] | ||
| 4 | Linear OA(4256, 334, F4, 121) (dual of [334, 78, 122]-code) | [i] | Truncation | |
| 5 | Linear OA(4255, 333, F4, 120) (dual of [333, 78, 121]-code) | [i] | ||
| 6 | Linear OOA(4258, 168, F4, 2, 123) (dual of [(168, 2), 78, 124]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4258, 112, F4, 3, 123) (dual of [(112, 3), 78, 124]-NRT-code) | [i] | ||