Information on Result #1288021
Linear OA(2131, 202, F2, 38) (dual of [202, 71, 39]-code), using construction Y1 based on
- linear OA(2132, 255, F2, 38) (dual of [255, 123, 39]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- nonexistence of linear OA(2123, 255, F2, 53) (dual of [255, 132, 54]-code), because
- discarding factors / shortening the dual code would yield linear OA(2123, 252, F2, 53) (dual of [252, 129, 54]-code), but
- 1 times truncation [i] would yield linear OA(2122, 251, F2, 52) (dual of [251, 129, 53]-code), but
- the improved Johnson bound shows that N ≤ 11043 193587 672104 283123 302487 647945 991483 < 2129 [i]
- 1 times truncation [i] would yield linear OA(2122, 251, F2, 52) (dual of [251, 129, 53]-code), but
- discarding factors / shortening the dual code would yield linear OA(2123, 252, F2, 53) (dual of [252, 129, 54]-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.