Information on Result #675701

Linear OA(3120, 6593, F3, 21) (dual of [6593, 6473, 22]-code), using construction XX applied to Ce(21) ⊂ Ce(16) ⊂ Ce(15) based on
  1. linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  4. linear OA(36, 31, F3, 3) (dual of [31, 25, 4]-code or 31-cap in PG(5,3)), using
  5. linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-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(3120, 3841, F3, 2, 21) (dual of [(3841, 2), 7562, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3120, 3841, F3, 3, 21) (dual of [(3841, 3), 11403, 22]-NRT-code) [i]
3Linear OOA(3120, 3841, F3, 4, 21) (dual of [(3841, 4), 15244, 22]-NRT-code) [i]
4Linear OOA(3120, 3841, F3, 5, 21) (dual of [(3841, 5), 19085, 22]-NRT-code) [i]
5Digital (99, 120, 3841)-net over F3 [i]
6Linear OOA(3120, 3296, F3, 2, 21) (dual of [(3296, 2), 6472, 22]-NRT-code) [i]OOA Folding
7Linear OOA(3120, 1648, F3, 4, 21) (dual of [(1648, 4), 6472, 22]-NRT-code) [i]