Information on Result #1013161

Linear OOA(5108, 2796409, F5, 3, 12) (dual of [(2796409, 3), 8389119, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(517, 208, F5, 3, 6) (dual of [(208, 3), 607, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(517, 624, F5, 6) (dual of [624, 607, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OOA(591, 2796201, F5, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(5149, 5592610, F5, 3, 12) (dual of [(5592610, 3), 16777681, 13]-NRT-code) [i](u, u+v)-Construction for OOAs