Information on Result #1288040
Linear OA(3210, 228, F3, 121) (dual of [228, 18, 122]-code), using construction Y1 based on
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using
- an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- nonexistence of OA(332, 243, S3, 15), because
- discarding factors would yield OA(332, 223, S3, 15), but
- 1 times truncation [i] would yield OA(331, 222, S3, 14), but
- the Rao or (dual) Hamming bound shows that M ≥ 623 503740 361401 > 331 [i]
- 1 times truncation [i] would yield OA(331, 222, S3, 14), but
- discarding factors would yield OA(332, 223, S3, 15), 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.