Information on Result #684023

Linear OA(5111, 141, F5, 61) (dual of [141, 30, 62]-code), using construction X applied to Ce(61) ⊂ Ce(48) based on
  1. linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
  2. linear OA(595, 125, F5, 49) (dual of [125, 30, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
  3. linear OA(513, 16, F5, 11) (dual of [16, 3, 12]-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(5111, 141, F5, 60) (dual of [141, 30, 61]-code) [i]Strength Reduction
2Linear OA(5110, 140, F5, 60) (dual of [140, 30, 61]-code) [i]Truncation
3Linear OA(5109, 139, F5, 59) (dual of [139, 30, 60]-code) [i]
4Linear OA(5108, 138, F5, 58) (dual of [138, 30, 59]-code) [i]
5Linear OOA(5111, 70, F5, 2, 61) (dual of [(70, 2), 29, 62]-NRT-code) [i]OOA Folding
6Linear OOA(5111, 47, F5, 3, 61) (dual of [(47, 3), 30, 62]-NRT-code) [i]