Information on Result #949523
Linear OOA(2237, 177, F2, 3, 56) (dual of [(177, 3), 294, 57]-NRT-code), using OOA 3-folding based on linear OA(2237, 531, F2, 56) (dual of [531, 294, 57]-code), using
- discarding factors / shortening the dual code based on linear OA(2237, 532, F2, 56) (dual of [532, 295, 57]-code), using
- construction XX applied to C1 = C([509,52]), C2 = C([1,54]), C3 = C1 + C2 = C([1,52]), and C∩ = C1 ∩ C2 = C([509,54]) [i] based on
- linear OA(2226, 511, F2, 55) (dual of [511, 285, 56]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,52}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(2225, 511, F2, 54) (dual of [511, 286, 55]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(2235, 511, F2, 57) (dual of [511, 276, 58]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,54}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(2216, 511, F2, 52) (dual of [511, 295, 53]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (see above)
- construction XX applied to C1 = C([509,52]), C2 = C([1,54]), C3 = C1 + C2 = C([1,52]), and C∩ = C1 ∩ C2 = C([509,54]) [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.