Information on Result #669828

Linear OA(6487, 262730, F64, 23) (dual of [262730, 262643, 24]-code), using (u, u+v)-construction based on
  1. linear OA(6420, 585, F64, 11) (dual of [585, 565, 12]-code), using
    • the BCH-code C(I) with length 585 | 642−1, defining interval I = {1,8,15,…,71}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(6487, 23884, F64, 23, 23) (dual of [(23884, 23), 549245, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row