Information on Result #869739
Linear OOA(3254, 545, F32, 2, 21) (dual of [(545, 2), 1036, 22]-NRT-code), using OOA 2-folding based on linear OA(3254, 1090, F32, 21) (dual of [1090, 1036, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3254, 1091, F32, 21) (dual of [1091, 1037, 22]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3213, 64, F32, 10) (dual of [64, 51, 11]-code), using
- extended algebraic-geometric code AGe(F,53P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3241, 1027, F32, 21) (dual of [1027, 986, 22]-code), using
- construction XX applied to C1 = C([1022,18]), C2 = C([0,19]), C3 = C1 + C2 = C([0,18]), and C∩ = C1 ∩ C2 = C([1022,19]) [i] based on
- linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3241, 1023, F32, 21) (dual of [1023, 982, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,19}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3237, 1023, F32, 19) (dual of [1023, 986, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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([1022,18]), C2 = C([0,19]), C3 = C1 + C2 = C([0,18]), and C∩ = C1 ∩ C2 = C([1022,19]) [i] based on
- linear OA(3213, 64, F32, 10) (dual of [64, 51, 11]-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.