Information on Result #945324
Linear OOA(240, 28, F2, 3, 13) (dual of [(28, 3), 44, 14]-NRT-code), using OOA 3-folding based on linear OA(240, 84, F2, 13) (dual of [84, 44, 14]-code), using
- construction XX applied to C1 = C({0,1,3,5,31}), C2 = C([0,9]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C({0,1,3,5,7,9,31}) [i] based on
- linear OA(225, 63, F2, 9) (dual of [63, 38, 10]-code), using the primitive cyclic code C(A) with length 63 = 26−1, defining set A = {0,1,3,5,31}, and minimum distance d ≥ |{−2,−1,…,6}|+1 = 10 (BCH-bound) [i]
- linear OA(228, 63, F2, 11) (dual of [63, 35, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(234, 63, F2, 13) (dual of [63, 29, 14]-code), using the primitive cyclic code C(A) with length 63 = 26−1, defining set A = {0,1,3,5,7,9,31}, and minimum distance d ≥ |{−2,−1,…,10}|+1 = 14 (BCH-bound) [i]
- linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(21, 7, F2, 1) (dual of [7, 6, 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(25, 14, F2, 3) (dual of [14, 9, 4]-code or 14-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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.