Information on Result #2206887
Linear OA(4231, 315, F4, 106) (dual of [315, 84, 107]-code), using strength reduction based on linear OA(4231, 315, F4, 107) (dual of [315, 84, 108]-code), using
- concatenation of two codes [i] based on
- linear OA(6435, 63, F64, 35) (dual of [63, 28, 36]-code or 63-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(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- linear OA(6435, 63, F64, 35) (dual of [63, 28, 36]-code or 63-arc in PG(34,64)), 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(4230, 314, F4, 105) (dual of [314, 84, 106]-code) | [i] | Truncation | |
| 2 | Linear OOA(4231, 105, F4, 3, 106) (dual of [(105, 3), 84, 107]-NRT-code) | [i] | OOA Folding | |