Information on Result #692599
Linear OA(16130, 294, F16, 66) (dual of [294, 164, 67]-code), using construction X applied to C([0,34]) ⊂ C([0,25]) based on
- linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [i]
- linear OA(1693, 257, F16, 51) (dual of [257, 164, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
- linear OA(1617, 37, F16, 14) (dual of [37, 20, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1617, 38, F16, 14) (dual of [38, 21, 15]-code), using
- extended algebraic-geometric code AGe(F,23P) [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(1617, 38, F16, 14) (dual of [38, 21, 15]-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.