Information on Result #676364

Linear OA(3126, 747, F3, 31) (dual of [747, 621, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,13]) based on
  1. linear OA(3121, 730, F3, 31) (dual of [730, 609, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. linear OA(3109, 730, F3, 27) (dual of [730, 621, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(35, 17, F3, 3) (dual of [17, 12, 4]-code or 17-cap in PG(4,3)), 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(3126, 639, F3, 2, 31) (dual of [(639, 2), 1152, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3126, 639, F3, 3, 31) (dual of [(639, 3), 1791, 32]-NRT-code) [i]
3Linear OOA(3126, 639, F3, 4, 31) (dual of [(639, 4), 2430, 32]-NRT-code) [i]
4Linear OOA(3126, 639, F3, 5, 31) (dual of [(639, 5), 3069, 32]-NRT-code) [i]
5Digital (95, 126, 639)-net over F3 [i]