Information on Result #682779

Linear OA(5141, 15640, F5, 29) (dual of [15640, 15499, 30]-code), using construction XX applied to Ce(28) ⊂ Ce(26) ⊂ Ce(25) based on
  1. linear OA(5139, 15625, F5, 29) (dual of [15625, 15486, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(51, 14, F5, 1) (dual of [14, 13, 2]-code), using
  5. linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-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 OOA(5141, 11479, F5, 2, 29) (dual of [(11479, 2), 22817, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5141, 11479, F5, 3, 29) (dual of [(11479, 3), 34296, 30]-NRT-code) [i]
3Digital (112, 141, 11479)-net over F5 [i]
4Linear OOA(5141, 7820, F5, 2, 29) (dual of [(7820, 2), 15499, 30]-NRT-code) [i]OOA Folding
5Linear OOA(5141, 5213, F5, 3, 29) (dual of [(5213, 3), 15498, 30]-NRT-code) [i]
6Linear OOA(5141, 1117, F5, 29, 29) (dual of [(1117, 29), 32252, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row