Information on Result #637393
Linear OA(4246, 312, F4, 123) (dual of [312, 66, 124]-code), using concatenation of two codes based on
- linear OA(6430, 52, F64, 30) (dual of [52, 22, 31]-code or 52-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(4245, 311, F4, 122) (dual of [311, 66, 123]-code) | [i] | Truncation | |
| 2 | Linear OA(4243, 309, F4, 120) (dual of [309, 66, 121]-code) | [i] | ||
| 3 | Linear OOA(4246, 156, F4, 2, 123) (dual of [(156, 2), 66, 124]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4246, 104, F4, 3, 123) (dual of [(104, 3), 66, 124]-NRT-code) | [i] | ||