Information on Result #676501
Linear OA(368, 750, F3, 15) (dual of [750, 682, 16]-code), using construction XX applied to C([0,7]) ⊂ C([0,6]) ⊂ C([1,6]) based on
- linear OA(361, 730, F3, 15) (dual of [730, 669, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(349, 730, F3, 13) (dual of [730, 681, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(348, 730, F3, 7) (dual of [730, 682, 8]-code), using the narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [1,6], and minimum distance d ≥ |{1,2,…,6}| + |{−7,0}| = 8 (simple Roos-bound) [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 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
- linear OA(35, 6, F3, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,3)), using
- dual of repetition code with length 6 [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.