Information on Result #661530
Linear OA(554, 84, F5, 25) (dual of [84, 30, 26]-code), using concatenation of two codes based on
- linear OA(2513, 28, F25, 12) (dual of [28, 15, 13]-code), using
- construction X applied to RS(13,25) ⊂ RS(15,25) [i] based on
- 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(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using Reed–Solomon code RS(15,25) [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(13,25) ⊂ RS(15,25) [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(553, 83, F5, 24) (dual of [83, 30, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(554, 42, F5, 2, 25) (dual of [(42, 2), 30, 26]-NRT-code) | [i] | OOA Folding | |