Information on Result #733765
Linear OA(32101, 1151, F32, 37) (dual of [1151, 1050, 38]-code), using (u, u+v)-construction based on
- linear OA(3231, 124, F32, 18) (dual of [124, 93, 19]-code), using
- construction X applied to AG(F,100P) ⊂ AG(F,103P) [i] based on
- linear OA(3229, 119, F32, 18) (dual of [119, 90, 19]-code), using algebraic-geometric code AG(F,100P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3226, 119, F32, 15) (dual of [119, 93, 16]-code), using algebraic-geometric code AG(F,103P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(322, 5, F32, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to AG(F,100P) ⊂ AG(F,103P) [i] based on
- linear OA(3270, 1027, F32, 37) (dual of [1027, 957, 38]-code), using
- construction XX applied to C1 = C([1022,34]), C2 = C([0,35]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([1022,35]) [i] based on
- linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3270, 1023, F32, 37) (dual of [1023, 953, 38]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,35}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([1022,34]), C2 = C([0,35]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([1022,35]) [i] based on
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.