Information on Result #684122

Linear OA(5115, 151, F5, 61) (dual of [151, 36, 62]-code), using construction X applied to Ce(61) ⊂ Ce(46) 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(589, 125, F5, 47) (dual of [125, 36, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(517, 26, F5, 13) (dual of [26, 9, 14]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 26 | 54−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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 OA(5115, 151, F5, 60) (dual of [151, 36, 61]-code) [i]Strength Reduction
2Linear OA(5116, 152, F5, 61) (dual of [152, 36, 62]-code) [i]Code Embedding in Larger Space
3Linear OA(5114, 150, F5, 60) (dual of [150, 36, 61]-code) [i]Truncation
4Linear OA(5113, 149, F5, 59) (dual of [149, 36, 60]-code) [i]
5Linear OA(5112, 148, F5, 58) (dual of [148, 36, 59]-code) [i]
6Linear OA(5110, 146, F5, 56) (dual of [146, 36, 57]-code) [i]
7Linear OOA(5115, 75, F5, 2, 61) (dual of [(75, 2), 35, 62]-NRT-code) [i]OOA Folding
8Linear OOA(5115, 50, F5, 3, 61) (dual of [(50, 3), 35, 62]-NRT-code) [i]