Information on Result #676369

Linear OA(3101, 740, F3, 25) (dual of [740, 639, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
  1. linear OA(397, 730, F3, 25) (dual of [730, 633, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(385, 730, F3, 21) (dual of [730, 645, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  3. linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), 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(3101, 540, F3, 2, 25) (dual of [(540, 2), 979, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3101, 540, F3, 3, 25) (dual of [(540, 3), 1519, 26]-NRT-code) [i]
3Linear OOA(3101, 540, F3, 4, 25) (dual of [(540, 4), 2059, 26]-NRT-code) [i]
4Linear OOA(3101, 540, F3, 5, 25) (dual of [(540, 5), 2599, 26]-NRT-code) [i]
5Digital (76, 101, 540)-net over F3 [i]