Information on Result #619418
Linear OA(8175, 208, F81, 33) (dual of [208, 133, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
- linear OA(8161, 193, F81, 33) (dual of [193, 132, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 193 | 814−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(8160, 193, F81, 18) (dual of [193, 133, 19]-code), using the narrow-sense BCH-code C(I) with length 193 | 814−1, defining interval I = [1,16], and minimum distance d ≥ |{1,2,…,15}| + |{−16,19,54,…,0}∖{−35,−70,88,53,18,−52,−87,71,36,−34,−69,89,54,19}| = 19 (general Roos-bound) [i]
- linear OA(8114, 15, F81, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,81)), using
- dual of repetition code with length 15 [i]
Mode: Constructive and 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.