Information on Result #674086
Linear OA(247, 141, F2, 13) (dual of [141, 94, 14]-code), using construction XX applied to Ce(12) ⊂ Ce(10) ⊂ Ce(8) based on
- linear OA(243, 128, F2, 13) (dual of [128, 85, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(236, 128, F2, 11) (dual of [128, 92, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(229, 128, F2, 9) (dual of [128, 99, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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, 3, F2, 1) (dual of [3, 2, 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 (see above)
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.