Information on Result #612442
Linear OA(3176, 183, F3, 65) (dual of [183, 7, 66]-code), using construction X applied to C([0,51]) ⊂ C([1,51]) based on
- linear OA(3163, 169, F3, 65) (dual of [169, 6, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 169 | 339−1, defining interval I = [0,51], and minimum distance d ≥ |{−12,−11,…,51}|+1 = 66 (BCH-bound) and all weights a multiple of 3 because the code is contained in its dual [i]
- linear OA(3162, 169, F3, 51) (dual of [169, 7, 52]-code), using the narrow-sense BCH-code C(I) with length 169 | 339−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(313, 14, F3, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), using
- dual of repetition code with length 14 [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.