Information on Result #636802
Linear OA(4181, 265, F4, 77) (dual of [265, 84, 78]-code), using concatenation of two codes based on
- linear OA(6425, 53, F64, 25) (dual of [53, 28, 26]-code or 53-arc in PG(24,64)), using
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
- Reed–Solomon code RS(39,64) [i]
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), 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(4181, 265, F4, 76) (dual of [265, 84, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4182, 266, F4, 77) (dual of [266, 84, 78]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4180, 264, F4, 76) (dual of [264, 84, 77]-code) | [i] | Truncation | |
| 4 | Linear OA(4179, 263, F4, 75) (dual of [263, 84, 76]-code) | [i] | ||
| 5 | Linear OOA(4181, 132, F4, 2, 77) (dual of [(132, 2), 83, 78]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4181, 88, F4, 3, 77) (dual of [(88, 3), 83, 78]-NRT-code) | [i] | ||