Information on Result #1134249
Linear OOA(2258, 179, F2, 6, 51) (dual of [(179, 6), 816, 52]-NRT-code), using OOA 6-folding based on linear OA(2258, 1074, F2, 51) (dual of [1074, 816, 52]-code), using
- discarding factors / shortening the dual code based on linear OA(2258, 1075, F2, 51) (dual of [1075, 817, 52]-code), using
- construction XX applied to C1 = C([1019,42]), C2 = C([0,46]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([1019,46]) [i] based on
- linear OA(2226, 1023, F2, 47) (dual of [1023, 797, 48]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−4,−3,…,42}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(2226, 1023, F2, 47) (dual of [1023, 797, 48]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(2246, 1023, F2, 51) (dual of [1023, 777, 52]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−4,−3,…,46}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2206, 1023, F2, 43) (dual of [1023, 817, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(26, 26, F2, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- linear OA(26, 26, F2, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,2)) (see above)
- construction XX applied to C1 = C([1019,42]), C2 = C([0,46]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([1019,46]) [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.