Information on Result #676234

Linear OA(3101, 2219, F3, 20) (dual of [2219, 2118, 21]-code), using construction XX applied to Ce(19) ⊂ Ce(15) ⊂ Ce(13) based on
  1. linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(371, 2187, F3, 16) (dual of [2187, 2116, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(364, 2187, F3, 14) (dual of [2187, 2123, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  4. linear OA(36, 29, F3, 3) (dual of [29, 23, 4]-code or 29-cap in PG(5,3)), using
  5. linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), 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, 1673, F3, 2, 20) (dual of [(1673, 2), 3245, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3101, 1673, F3, 3, 20) (dual of [(1673, 3), 4918, 21]-NRT-code) [i]
3Linear OOA(3101, 1673, F3, 4, 20) (dual of [(1673, 4), 6591, 21]-NRT-code) [i]
4Linear OOA(3101, 1673, F3, 5, 20) (dual of [(1673, 5), 8264, 21]-NRT-code) [i]
5Digital (81, 101, 1673)-net over F3 [i]
6Linear OOA(3101, 1109, F3, 2, 20) (dual of [(1109, 2), 2117, 21]-NRT-code) [i]OOA Folding