Information on Result #613303
Linear OA(4138, 156, F4, 56) (dual of [156, 18, 57]-code), using construction X applied to C([0,53]) ⊂ C([1,53]) based on
- linear OA(4136, 153, F4, 56) (dual of [153, 17, 57]-code), using the expurgated narrow-sense BCH-code C(I) with length 153 | 412−1, defining interval I = [0,53], and minimum distance d ≥ |{−2,−1,…,53}|+1 = 57 (BCH-bound) [i]
- linear OA(4135, 153, F4, 53) (dual of [153, 18, 54]-code), using the narrow-sense BCH-code C(I) with length 153 | 412−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [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.