Information on Result #661532
Linear OA(558, 84, F5, 29) (dual of [84, 26, 30]-code), using concatenation of two codes based on
- linear OA(2515, 28, F25, 14) (dual of [28, 13, 15]-code), using
- construction X applied to RS(11,25) ⊂ RS(13,25) [i] based on
- linear OA(2514, 25, F25, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,25)), using Reed–Solomon code RS(11,25) [i]
- linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using Reed–Solomon code RS(13,25) [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to RS(11,25) ⊂ RS(13,25) [i] based on
- linear OA(51, 3, F5, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(557, 83, F5, 28) (dual of [83, 26, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(558, 42, F5, 2, 29) (dual of [(42, 2), 26, 30]-NRT-code) | [i] | OOA Folding | |