Information on Result #1288015
Linear OA(275, 171, F2, 20) (dual of [171, 96, 21]-code), using construction Y1 based on
- linear OA(276, 255, F2, 20) (dual of [255, 179, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- nonexistence of linear OA(2179, 255, F2, 84) (dual of [255, 76, 85]-code), because
- discarding factors / shortening the dual code would yield linear OA(2179, 209, F2, 84) (dual of [209, 30, 85]-code), but
- adding a parity check bit [i] would yield linear OA(2180, 210, F2, 85) (dual of [210, 30, 86]-code), but
- discarding factors / shortening the dual code would yield linear OA(2179, 209, F2, 84) (dual of [209, 30, 85]-code), but
Mode: 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.