Information on Result #1288030
Linear OA(2229, 245, F2, 106) (dual of [245, 16, 107]-code), using construction Y1 based on
- linear OA(2230, 251, F2, 106) (dual of [251, 21, 107]-code), using
- 5 times truncation [i] based on linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using
- an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- 5 times truncation [i] based on linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using
- nonexistence of OA(221, 251, S2, 6), because
- discarding factors would yield OA(221, 233, S2, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 2 108418 > 221 [i]
- discarding factors would yield OA(221, 233, S2, 6), 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.