Information on Result #676028

Linear OA(3148, 2214, F3, 31) (dual of [2214, 2066, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) 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(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(3148, 1503, F3, 2, 31) (dual of [(1503, 2), 2858, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3148, 1503, F3, 3, 31) (dual of [(1503, 3), 4361, 32]-NRT-code) [i]
3Linear OOA(3148, 1503, F3, 4, 31) (dual of [(1503, 4), 5864, 32]-NRT-code) [i]
4Linear OOA(3148, 1503, F3, 5, 31) (dual of [(1503, 5), 7367, 32]-NRT-code) [i]
5Digital (117, 148, 1503)-net over F3 [i]
6Linear OOA(3148, 1107, F3, 2, 31) (dual of [(1107, 2), 2066, 32]-NRT-code) [i]OOA Folding
7Linear OOA(3148, 738, F3, 3, 31) (dual of [(738, 3), 2066, 32]-NRT-code) [i]
8Linear OOA(3148, 553, F3, 4, 31) (dual of [(553, 4), 2064, 32]-NRT-code) [i]
9Linear OOA(3148, 442, F3, 5, 31) (dual of [(442, 5), 2062, 32]-NRT-code) [i]