Information on Result #637161
Linear OA(4249, 315, F4, 125) (dual of [315, 66, 126]-code), using concatenation of two codes based on
- linear OA(6441, 63, F64, 41) (dual of [63, 22, 42]-code or 63-arc in PG(40,64)), using
- discarding factors / shortening the dual code based on linear OA(6441, 64, F64, 41) (dual of [64, 23, 42]-code or 64-arc in PG(40,64)), using
- Reed–Solomon code RS(23,64) [i]
- discarding factors / shortening the dual code based on linear OA(6441, 64, F64, 41) (dual of [64, 23, 42]-code or 64-arc in PG(40,64)), 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]
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(4249, 315, F4, 124) (dual of [315, 66, 125]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4248, 314, F4, 124) (dual of [314, 66, 125]-code) | [i] | Truncation | |
| 3 | Linear OA(4247, 313, F4, 123) (dual of [313, 66, 124]-code) | [i] | ||
| 4 | Linear OOA(4249, 157, F4, 2, 125) (dual of [(157, 2), 65, 126]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4249, 105, F4, 3, 125) (dual of [(105, 3), 66, 126]-NRT-code) | [i] | ||