Information on Result #613283
Linear OA(4131, 141, F4, 54) (dual of [141, 10, 55]-code), using construction X applied to C([0,26]) ⊂ C([1,26]) based on
- linear OA(4120, 129, F4, 54) (dual of [129, 9, 55]-code), using the expurgated narrow-sense BCH-code C(I) with length 129 | 47−1, defining interval I = [0,26], and minimum distance d ≥ |{1,65,0,64,128}| + |{20,61,102,…,0}∖{−23,42,−22,43}| = 55 (general Roos-bound) [i]
- linear OA(4119, 129, F4, 42) (dual of [129, 10, 43]-code), using the narrow-sense BCH-code C(I) with length 129 | 47−1, defining interval I = [1,26], and minimum distance d ≥ |{2,24,46,68}| + |{0,2,4,…,82}∖{18,40,62}| = 43 (general Roos-bound) [i]
- linear OA(411, 12, F4, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,4)), using
- dual of repetition code with length 12 [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.