Information on Result #836565
Linear OOA(547, 38, F5, 2, 22) (dual of [(38, 2), 29, 23]-NRT-code), using OOA 2-folding based on linear OA(547, 76, F5, 22) (dual of [76, 29, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(547, 77, F5, 22) (dual of [77, 30, 23]-code), using
- 1 times truncation [i] based on linear OA(548, 78, F5, 23) (dual of [78, 30, 24]-code), using
- concatenation of two codes [i] based on
- linear OA(2511, 26, F25, 11) (dual of [26, 15, 12]-code or 26-arc in PG(10,25)), using
- extended Reed–Solomon code RSe(15,25) [i]
- the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- algebraic-geometric code AG(F,7P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- algebraic-geometric code AG(F, Q+4P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- 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
- linear OA(2511, 26, F25, 11) (dual of [26, 15, 12]-code or 26-arc in PG(10,25)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(548, 78, F5, 23) (dual of [78, 30, 24]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.