Information on Result #701202
Linear OA(545, 52, F5, 30) (dual of [52, 7, 31]-code), using construction X applied to C([1,17]) ⊂ C({1,2,3,4,6,11,12,16}) based on
- linear OA(530, 31, F5, 30) (dual of [31, 1, 31]-code or 31-arc in PG(29,5)), using the narrow-sense BCH-code C(I) with length 31 | 53−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(524, 31, F5, 18) (dual of [31, 7, 19]-code), using the cyclic code C(A) with length 31 | 53−1, defining set A = {1,2,3,4,6,11,12,16}, and minimum distance d ≥ |{−6,2,10,…,6}|+1 = 19 (BCH-bound) [i]
- linear OA(515, 21, F5, 11) (dual of [21, 6, 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.