Information on Result #682349

Linear OA(5133, 390654, F5, 20) (dual of [390654, 390521, 21]-code), using construction XX applied to Ce(20) ⊂ Ce(16) ⊂ Ce(15) based on
  1. linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  4. linear OA(53, 28, F5, 2) (dual of [28, 25, 3]-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(5133, 252248, F5, 2, 20) (dual of [(252248, 2), 504363, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5133, 252248, F5, 3, 20) (dual of [(252248, 3), 756611, 21]-NRT-code) [i]
3Digital (113, 133, 252248)-net over F5 [i]
4Linear OOA(5133, 195327, F5, 2, 20) (dual of [(195327, 2), 390521, 21]-NRT-code) [i]OOA Folding
5Linear OOA(5133, 130218, F5, 3, 20) (dual of [(130218, 3), 390521, 21]-NRT-code) [i]