Information on Result #636968
Linear OA(4217, 295, F4, 101) (dual of [295, 78, 102]-code), using concatenation of two codes based on
- linear OA(6433, 59, F64, 33) (dual of [59, 26, 34]-code or 59-arc in PG(32,64)), using
- discarding factors / shortening the dual code based on linear OA(6433, 64, F64, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
- Reed–Solomon code RS(31,64) [i]
- discarding factors / shortening the dual code based on linear OA(6433, 64, F64, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), 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(4217, 295, F4, 100) (dual of [295, 78, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4218, 296, F4, 101) (dual of [296, 78, 102]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4216, 294, F4, 100) (dual of [294, 78, 101]-code) | [i] | Truncation | |
| 4 | Linear OA(4215, 293, F4, 99) (dual of [293, 78, 100]-code) | [i] | ||
| 5 | Linear OOA(4217, 147, F4, 2, 101) (dual of [(147, 2), 77, 102]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4217, 98, F4, 3, 101) (dual of [(98, 3), 77, 102]-NRT-code) | [i] | ||