Information on Result #870965
Linear OOA(3299, 573, F32, 2, 37) (dual of [(573, 2), 1047, 38]-NRT-code), using OOA 2-folding based on linear OA(3299, 1146, F32, 37) (dual of [1146, 1047, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3299, 1147, F32, 37) (dual of [1147, 1048, 38]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3229, 120, F32, 18) (dual of [120, 91, 19]-code), using
- extended algebraic-geometric code AGe(F,101P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- 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
- linear OA(3229, 120, F32, 18) (dual of [120, 91, 19]-code), using
- (u, u+v)-construction [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.