Information on Result #896151
Linear OOA(579, 39081, F5, 2, 13) (dual of [(39081, 2), 78083, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(57, 10, F5, 2, 6) (dual of [(10, 2), 13, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,13P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- linear OOA(572, 39071, F5, 2, 13) (dual of [(39071, 2), 78070, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(572, 78142, F5, 13) (dual of [78142, 78070, 14]-code), using
- construction X4 applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(571, 78126, F5, 13) (dual of [78126, 78055, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(557, 78126, F5, 11) (dual of [78126, 78069, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(515, 16, F5, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,5)), using
- dual of repetition code with length 16 [i]
- linear OA(51, 16, F5, 1) (dual of [16, 15, 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
- construction X4 applied to C([0,6]) ⊂ C([0,5]) [i] based on
- OOA 2-folding [i] based on linear OA(572, 78142, F5, 13) (dual of [78142, 78070, 14]-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.