Information on Result #1288047
Linear OA(4221, 230, F4, 152) (dual of [230, 9, 153]-code), using construction Y1 based on
- linear OA(4222, 238, F4, 152) (dual of [238, 16, 153]-code), using
- 19 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,85], and minimum distance d ≥ |{−85,−84,…,85}|+1 = 172 (BCH-bound) [i]
- 19 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- nonexistence of OA(416, 238, S4, 8), because
- discarding factors would yield OA(416, 191, S4, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 4382 943469 > 416 [i]
- discarding factors would yield OA(416, 191, S4, 8), 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.