Information on Result #661531
Linear OA(556, 84, F5, 27) (dual of [84, 28, 28]-code), using concatenation of two codes based on
- linear OA(2514, 28, F25, 13) (dual of [28, 14, 14]-code), using
- construction X applied to RS(12,25) ⊂ RS(14,25) [i] based on
- linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using Reed–Solomon code RS(12,25) [i]
- linear OA(2511, 25, F25, 11) (dual of [25, 14, 12]-code or 25-arc in PG(10,25)), using Reed–Solomon code RS(14,25) [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(12,25) ⊂ RS(14,25) [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(555, 83, F5, 26) (dual of [83, 28, 27]-code) | [i] | Truncation | |
| 2 | Linear OOA(556, 42, F5, 2, 27) (dual of [(42, 2), 28, 28]-NRT-code) | [i] | OOA Folding | |