Information on Result #613331
Linear OA(4142, 156, F4, 59) (dual of [156, 14, 60]-code), using construction X applied to C([0,56]) ⊂ C([1,56]) based on
- linear OA(4140, 153, F4, 59) (dual of [153, 13, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 153 | 412−1, defining interval I = [0,56], and minimum distance d ≥ |{−2,−1,…,56}|+1 = 60 (BCH-bound) [i]
- linear OA(4139, 153, F4, 56) (dual of [153, 14, 57]-code), using the narrow-sense BCH-code C(I) with length 153 | 412−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [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.