Information on Result #737557

Linear OA(591, 15655, F5, 18) (dual of [15655, 15564, 19]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
  1. linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(561, 15625, F5, 13) (dual of [15625, 15564, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-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 OA(592, 15656, F5, 18) (dual of [15656, 15564, 19]-code) [i]Code Embedding in Larger Space
2Linear OA(592, 15657, F5, 18) (dual of [15657, 15565, 19]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OA(593, 15659, F5, 18) (dual of [15659, 15566, 19]-code) [i]
4Linear OOA(591, 7827, F5, 2, 18) (dual of [(7827, 2), 15563, 19]-NRT-code) [i]OOA Folding
5Linear OOA(591, 5218, F5, 3, 18) (dual of [(5218, 3), 15563, 19]-NRT-code) [i]