Information on Result #691942
Linear OA(16109, 4133, F16, 35) (dual of [4133, 4024, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,12]) based on
- linear OA(1697, 4097, F16, 35) (dual of [4097, 4000, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(1673, 4097, F16, 25) (dual of [4097, 4024, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(1612, 36, F16, 9) (dual of [36, 24, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1612, 38, F16, 9) (dual of [38, 26, 10]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1612, 38, F16, 9) (dual of [38, 26, 10]-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.