Information on Result #676205

Linear OA(3148, 2216, F3, 30) (dual of [2216, 2068, 31]-code), using construction XX applied to Ce(30) ⊂ Ce(25) ⊂ Ce(24) based on
  1. linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(3113, 2187, F3, 25) (dual of [2187, 2074, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  4. linear OA(36, 28, F3, 3) (dual of [28, 22, 4]-code or 28-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(3148, 1781, F3, 2, 30) (dual of [(1781, 2), 3414, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3148, 1781, F3, 3, 30) (dual of [(1781, 3), 5195, 31]-NRT-code) [i]
3Linear OOA(3148, 1781, F3, 4, 30) (dual of [(1781, 4), 6976, 31]-NRT-code) [i]
4Linear OOA(3148, 1781, F3, 5, 30) (dual of [(1781, 5), 8757, 31]-NRT-code) [i]
5Digital (118, 148, 1781)-net over F3 [i]
6Linear OOA(3148, 1108, F3, 2, 30) (dual of [(1108, 2), 2068, 31]-NRT-code) [i]OOA Folding
7Linear OOA(3148, 554, F3, 4, 30) (dual of [(554, 4), 2068, 31]-NRT-code) [i]
8Linear OOA(3148, 443, F3, 5, 30) (dual of [(443, 5), 2067, 31]-NRT-code) [i]