Information on Result #676153

Linear OA(3227, 2219, F3, 47) (dual of [2219, 1992, 48]-code), using construction XX applied to Ce(46) ⊂ Ce(42) ⊂ Ce(40) based on
  1. linear OA(3218, 2187, F3, 47) (dual of [2187, 1969, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(3227, 2153, F3, 2, 47) (dual of [(2153, 2), 4079, 48]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3227, 2153, F3, 3, 47) (dual of [(2153, 3), 6232, 48]-NRT-code) [i]
3Linear OOA(3227, 2153, F3, 4, 47) (dual of [(2153, 4), 8385, 48]-NRT-code) [i]
4Linear OOA(3227, 2153, F3, 5, 47) (dual of [(2153, 5), 10538, 48]-NRT-code) [i]
5Digital (180, 227, 2153)-net over F3 [i]
6Linear OOA(3227, 1109, F3, 2, 47) (dual of [(1109, 2), 1991, 48]-NRT-code) [i]OOA Folding