Information on Result #678413

Linear OA(4249, 262176, F4, 37) (dual of [262176, 261927, 38]-code), using construction X applied to Ce(36) ⊂ Ce(32) based on
  1. linear OA(4244, 262144, F4, 37) (dual of [262144, 261900, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), 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(4249, 262176, F4, 36) (dual of [262176, 261927, 37]-code) [i]Strength Reduction
2Linear OA(4250, 262177, F4, 37) (dual of [262177, 261927, 38]-code) [i]Code Embedding in Larger Space
3Linear OA(4251, 262178, F4, 37) (dual of [262178, 261927, 38]-code) [i]
4Linear OA(4252, 262179, F4, 37) (dual of [262179, 261927, 38]-code) [i]
5Linear OA(4253, 262180, F4, 37) (dual of [262180, 261927, 38]-code) [i]
6Linear OA(4248, 262175, F4, 36) (dual of [262175, 261927, 37]-code) [i]Truncation
7Linear OOA(4249, 131088, F4, 2, 37) (dual of [(131088, 2), 261927, 38]-NRT-code) [i]OOA Folding
8Linear OOA(4249, 87392, F4, 3, 37) (dual of [(87392, 3), 261927, 38]-NRT-code) [i]
9Linear OOA(4249, 14565, F4, 37, 37) (dual of [(14565, 37), 538656, 38]-NRT-code) [i]OOA Folding and Stacking with Additional Row