Information on Result #677817
Linear OA(338, 46, F3, 22) (dual of [46, 8, 23]-code), using construction XX applied to C([1,51]) ⊂ C([1,27]) ⊂ C([1,25]) based on
- linear OA(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using contraction [i] based on linear OA(351, 52, F3, 51) (dual of [52, 1, 52]-code or 52-arc in PG(50,3)), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using contraction [i] based on linear OA(345, 52, F3, 27) (dual of [52, 7, 28]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(318, 26, F3, 12) (dual of [26, 8, 13]-code), using contraction [i] based on linear OA(344, 52, F3, 25) (dual of [52, 8, 26]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(312, 19, F3, 8) (dual of [19, 7, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.