Information on Result #671821

Linear OA(25648, 131073, F256, 17) (dual of [131073, 131025, 18]-code), using (u, u+v)-construction based on
  1. linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using
    • an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(25648, 16384, F256, 17, 17) (dual of [(16384, 17), 278480, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row