Information on Result #702174
Linear OA(2256, 582, F2, 54) (dual of [582, 326, 55]-code), using construction X applied to C([1,54]) ⊂ C([1,42]) based on
- 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(2180, 511, F2, 42) (dual of [511, 331, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(231, 71, F2, 11) (dual of [71, 40, 12]-code), using
- construction XX applied to Ce(10) ⊂ Ce(8) ⊂ Ce(6) [i] based on
- linear OA(228, 64, F2, 11) (dual of [64, 36, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(225, 64, F2, 9) (dual of [64, 39, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(219, 64, F2, 7) (dual of [64, 45, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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, 2, F2, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- Reed–Solomon code RS(1,2) [i]
- construction XX applied to Ce(10) ⊂ Ce(8) ⊂ Ce(6) [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.