Information on Result #676055

Linear OA(364, 2214, F3, 13) (dual of [2214, 2150, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
  1. linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
    • an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]

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(364, 1316, F3, 2, 13) (dual of [(1316, 2), 2568, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(364, 1316, F3, 3, 13) (dual of [(1316, 3), 3884, 14]-NRT-code) [i]
3Linear OOA(364, 1316, F3, 4, 13) (dual of [(1316, 4), 5200, 14]-NRT-code) [i]
4Linear OOA(364, 1316, F3, 5, 13) (dual of [(1316, 5), 6516, 14]-NRT-code) [i]
5Digital (51, 64, 1316)-net over F3 [i]
6Linear OOA(364, 1107, F3, 2, 13) (dual of [(1107, 2), 2150, 14]-NRT-code) [i]OOA Folding
7Linear OOA(364, 738, F3, 3, 13) (dual of [(738, 3), 2150, 14]-NRT-code) [i]
8Linear OOA(364, 553, F3, 4, 13) (dual of [(553, 4), 2148, 14]-NRT-code) [i]
9Linear OOA(364, 442, F3, 5, 13) (dual of [(442, 5), 2146, 14]-NRT-code) [i]