Information on Result #684411
Linear OA(540, 49, F5, 25) (dual of [49, 9, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,6]) based on
- linear OA(525, 26, F5, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,5)), using the expurgated narrow-sense BCH-code C(I) with length 26 | 54−1, defining interval I = [0,12], and minimum distance d ≥ |{−10,−7,−4,…,10}|+1 = 26 (BCH-bound) [i]
- linear OA(517, 26, F5, 13) (dual of [26, 9, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 26 | 54−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(515, 23, F5, 11) (dual of [23, 8, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(515, 24, F5, 11) (dual of [24, 9, 12]-code), using
- the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(515, 24, F5, 11) (dual of [24, 9, 12]-code), using
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.