Information on Result #734238
Linear OA(3248, 1093, F32, 18) (dual of [1093, 1045, 19]-code), using (u, u+v)-construction based on
- linear OA(3213, 66, F32, 9) (dual of [66, 53, 10]-code), using
- construction X applied to AG(F,53P) ⊂ AG(F,55P) [i] based on
- linear OA(3212, 63, F32, 9) (dual of [63, 51, 10]-code), using algebraic-geometric code AG(F,53P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3210, 63, F32, 7) (dual of [63, 53, 8]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,53P) ⊂ AG(F,55P) [i] based on
- linear OA(3235, 1027, F32, 18) (dual of [1027, 992, 19]-code), using
- construction XX applied to C1 = C([1022,15]), C2 = C([0,16]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([1022,16]) [i] based on
- linear OA(3233, 1023, F32, 17) (dual of [1023, 990, 18]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,15}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3233, 1023, F32, 17) (dual of [1023, 990, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3235, 1023, F32, 18) (dual of [1023, 988, 19]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3231, 1023, F32, 16) (dual of [1023, 992, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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([1022,15]), C2 = C([0,16]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([1022,16]) [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.