Information on Result #737157

Linear OA(4254, 1048647, F4, 32) (dual of [1048647, 1048393, 33]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
  1. linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  3. linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4255, 1048648, F4, 32) (dual of [1048648, 1048393, 33]-code) [i]Code Embedding in Larger Space
2Linear OA(4256, 1048649, F4, 32) (dual of [1048649, 1048393, 33]-code) [i]
3Linear OOA(4254, 524323, F4, 2, 32) (dual of [(524323, 2), 1048392, 33]-NRT-code) [i]OOA Folding
4Linear OOA(4254, 349549, F4, 3, 32) (dual of [(349549, 3), 1048393, 33]-NRT-code) [i]