Information on Result #683510

Linear OA(5115, 641, F5, 36) (dual of [641, 526, 37]-code), using construction X applied to Ce(35) ⊂ Ce(31) based on
  1. linear OA(5111, 625, F5, 36) (dual of [625, 514, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(599, 625, F5, 32) (dual of [625, 526, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  3. linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-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 OOA(5115, 320, F5, 2, 36) (dual of [(320, 2), 525, 37]-NRT-code) [i]OOA Folding
2Linear OOA(5115, 213, F5, 3, 36) (dual of [(213, 3), 524, 37]-NRT-code) [i]