Information on Result #682214

Linear OA(5139, 1953188, F5, 18) (dual of [1953188, 1953049, 19]-code), using construction X applied to Ce(17) ⊂ Ce(10) based on
  1. linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(573, 1953125, F5, 11) (dual of [1953125, 1953052, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(512, 63, F5, 6) (dual of [63, 51, 7]-code), using
    • the BCH-code C(I) with length 63 | 56−1, defining interval I = {−5,−3,−1,…,5}, and designed minimum distance d ≥ |I|+1 = 7 [i]

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(5139, 976594, F5, 2, 18) (dual of [(976594, 2), 1953049, 19]-NRT-code) [i]OOA Folding
2Linear OOA(5139, 651062, F5, 3, 18) (dual of [(651062, 3), 1953047, 19]-NRT-code) [i]