Information on Result #682888

Linear OA(5145, 3150, F5, 35) (dual of [3150, 3005, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,15]) based on
  1. linear OA(5141, 3126, F5, 35) (dual of [3126, 2985, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
  2. linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  3. linear OA(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), 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(5146, 3151, F5, 35) (dual of [3151, 3005, 36]-code) [i]Code Embedding in Larger Space
2Linear OA(5147, 3152, F5, 35) (dual of [3152, 3005, 36]-code) [i]
3Linear OOA(5145, 1575, F5, 2, 35) (dual of [(1575, 2), 3005, 36]-NRT-code) [i]OOA Folding
4Linear OOA(5145, 1050, F5, 3, 35) (dual of [(1050, 3), 3005, 36]-NRT-code) [i]