Information on Result #691949
Linear OA(1688, 4130, F16, 27) (dual of [4130, 4042, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,9]) based on
- linear OA(1679, 4097, F16, 27) (dual of [4097, 4018, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(1655, 4097, F16, 19) (dual of [4097, 4042, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(169, 33, F16, 7) (dual of [33, 24, 8]-code), using
- extended algebraic-geometric code AGe(F,25P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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.