Information on Result #680359
Linear OA(4253, 1101, F4, 59) (dual of [1101, 848, 60]-code), using construction X applied to C([0,29]) ⊂ C([0,22]) based on
- linear OA(4221, 1025, F4, 59) (dual of [1025, 804, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
- linear OA(4171, 1025, F4, 45) (dual of [1025, 854, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(432, 76, F4, 13) (dual of [76, 44, 14]-code), using
- trace code [i] based on linear OA(1616, 38, F16, 13) (dual of [38, 22, 14]-code), using
- extended algebraic-geometric code AGe(F,24P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- trace code [i] based on linear OA(1616, 38, F16, 13) (dual of [38, 22, 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.