Information on Result #2226565
Linear OA(2259, 306, F2, 96) (dual of [306, 47, 97]-code), using 1 times truncation based on linear OA(2260, 307, F2, 97) (dual of [307, 47, 98]-code), using
- construction XX applied to C1 = C([161,254]), C2 = C([171,4]), C3 = C1 + C2 = C([171,254]), and C∩ = C1 ∩ C2 = C([161,4]) [i] based on
- linear OA(2226, 255, F2, 94) (dual of [255, 29, 95]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−94,−93,…,−1}, and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(2217, 255, F2, 89) (dual of [255, 38, 90]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,4}, and designed minimum distance d ≥ |I|+1 = 90 [i]
- linear OA(2235, 255, F2, 99) (dual of [255, 20, 100]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−94,−93,…,4}, and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,−1}, and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(217, 35, F2, 7) (dual of [35, 18, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(217, 40, F2, 7) (dual of [40, 23, 8]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(217, 40, F2, 7) (dual of [40, 23, 8]-code), using
- linear OA(28, 17, F2, 4) (dual of [17, 9, 5]-code), using
- 1 times truncation [i] based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- extended quadratic residue code Qe(18,2) [i]
- 1 times truncation [i] based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
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.