Information on Result #612109
Linear OA(376, 82, F3, 32) (dual of [82, 6, 33]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
- linear OA(372, 77, F3, 32) (dual of [77, 5, 33]-code), using the expurgated narrow-sense BCH-code C(I) with length 77 | 330−1, defining interval I = [0,13], and minimum distance d ≥ |{1,4,7,…,40}| + |{−30,−29,…,0}∖{−2,−5,−8,−11,−14,−17,−20,−22,−23,−25,−26,−28,−29}| = 33 (general Roos-bound) and all weights a multiple of 3 because the code is contained in its dual [i]
- linear OA(371, 77, F3, 27) (dual of [77, 6, 28]-code), using the narrow-sense BCH-code C(I) with length 77 | 330−1, defining interval I = [1,13], and minimum distance d ≥ |{15,16,…,41}|+1 = 28 (BCH-bound) [i]
- linear OA(34, 5, F3, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), using
- dual of repetition code with length 5 [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.