Information on Result #668112
Linear OA(32110, 1048674, F32, 23) (dual of [1048674, 1048564, 24]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(327, 33, F32, 7) (dual of [33, 26, 8]-code or 33-arc in PG(6,32)), using
- extended Reed–Solomon code RSe(26,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(3214, 64, F32, 11) (dual of [64, 50, 12]-code), using
- extended algebraic-geometric code AGe(F,52P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3289, 1048577, F32, 23) (dual of [1048577, 1048488, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
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.