Information on Result #663048
Linear OA(563, 15638, F5, 12) (dual of [15638, 15575, 13]-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(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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.