Information on Result #617737
Linear OA(2771, 161, F27, 33) (dual of [161, 90, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
- linear OA(2757, 146, F27, 33) (dual of [146, 89, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2756, 146, F27, 18) (dual of [146, 90, 19]-code), using the narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [1,16], and minimum distance d ≥ |{2,3,…,16}| + |{63,128,47,…,0}∖{−65,16,−49,32,−33,48,64,−66,15,−50,31,−34,47,63}| = 19 (general Roos-bound) [i]
- linear OA(2714, 15, F27, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,27)), 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.