Information on Result #663027
Linear OA(549, 639, F5, 13) (dual of [639, 590, 14]-code), using (u, u+v)-construction based on
- linear OA(58, 13, F5, 6) (dual of [13, 5, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 12 | 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- the narrow-sense BCH-code C(I) with length 13 | 54−1, defining interval I = [1,3], and minimum distance d ≥ |{−5,−3,−1,…,5}|+1 = 7 (BCH-bound) [i]
- linear OA(541, 626, F5, 13) (dual of [626, 585, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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.
Other Results with Identical Parameters
None.
Depending Results
None.