Information on Result #674061
Linear OA(2122, 159, F2, 43) (dual of [159, 37, 44]-code), using construction XX applied to Ce(42) ⊂ Ce(30) ⊂ Ce(28) based on
- linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(292, 128, F2, 31) (dual of [128, 36, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(285, 128, F2, 29) (dual of [128, 43, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(221, 29, F2, 11) (dual of [29, 8, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(221, 31, F2, 11) (dual of [31, 10, 12]-code), using
- code C1 for u = 5 by de Boer and Brouwer [i]
- discarding factors / shortening the dual code based on linear OA(221, 31, F2, 11) (dual of [31, 10, 12]-code), 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]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.