Information on Result #1288042
Linear OA(3237, 244, F3, 154) (dual of [244, 7, 155]-code), using construction Y1 based on
- linear OA(3238, 249, F3, 154) (dual of [249, 11, 155]-code), using
- construction X applied to Ce(160) ⊂ Ce(151) [i] based on
- linear OA(3237, 243, F3, 161) (dual of [243, 6, 162]-code), using an extension Ce(160) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,160], and designed minimum distance d ≥ |I|+1 = 161 [i]
- linear OA(3232, 243, F3, 152) (dual of [243, 11, 153]-code), using an extension Ce(151) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,151], and designed minimum distance d ≥ |I|+1 = 152 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(160) ⊂ Ce(151) [i] based on
- nonexistence of OA(311, 249, S3, 5), because
- discarding factors would yield OA(311, 173, S3, 5), but
- 1 times truncation [i] would yield OA(310, 172, S3, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 59169 > 310 [i]
- 1 times truncation [i] would yield OA(310, 172, S3, 4), but
- discarding factors would yield OA(311, 173, S3, 5), 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.
Other Results with Identical Parameters
None.
Depending Results
None.