Information on Result #682293

Linear OA(5149, 390651, F5, 23) (dual of [390651, 390502, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
  1. linear OA(5145, 390625, F5, 23) (dual of [390625, 390480, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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 OOA(5149, 195325, F5, 2, 23) (dual of [(195325, 2), 390501, 24]-NRT-code) [i]OOA Folding
2Linear OOA(5149, 130217, F5, 3, 23) (dual of [(130217, 3), 390502, 24]-NRT-code) [i]