Information on Result #692540
Linear OA(16129, 277, F16, 71) (dual of [277, 148, 72]-code), using construction X applied to C([0,35]) ⊂ C([0,29]) based on
- linear OA(16117, 257, F16, 71) (dual of [257, 140, 72]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,35], and minimum distance d ≥ |{−35,−34,…,35}|+1 = 72 (BCH-bound) [i]
- linear OA(16109, 257, F16, 59) (dual of [257, 148, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
- linear OA(1612, 20, F16, 11) (dual of [20, 8, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1612, 24, F16, 11) (dual of [24, 12, 12]-code), using
- extended algebraic-geometric code AGe(F,12P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1612, 24, F16, 11) (dual of [24, 12, 12]-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.