Information on Result #613431
Linear OA(4156, 164, F4, 79) (dual of [164, 8, 80]-code), using construction X applied to C([0,61]) ⊂ C([1,61]) based on
- linear OA(4148, 155, F4, 79) (dual of [155, 7, 80]-code), using the expurgated narrow-sense BCH-code C(I) with length 155 | 410−1, defining interval I = [0,61], and minimum distance d ≥ |{−14,−8,−2,…,−11}|+1 = 80 (BCH-bound) [i]
- linear OA(4147, 155, F4, 70) (dual of [155, 8, 71]-code), using the narrow-sense BCH-code C(I) with length 155 | 410−1, defining interval I = [1,61], and minimum distance d ≥ |{−65,2}| + |{0,2,4,…,138}∖{60}| = 71 (general Roos-bound) [i]
- linear OA(48, 9, F4, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,4)), using
- dual of repetition code with length 9 [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.