Information on Result #670700
Linear OA(12878, 16706, F128, 27) (dual of [16706, 16628, 28]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1289, 129, F128, 9) (dual of [129, 120, 10]-code or 129-arc in PG(8,128)), using
- extended Reed–Solomon code RSe(120,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(12816, 192, F128, 13) (dual of [192, 176, 14]-code), using
- extended algebraic-geometric code AGe(F,178P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12853, 16385, F128, 27) (dual of [16385, 16332, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
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.