Information on Result #675996

Linear OA(3246, 2214, F3, 52) (dual of [2214, 1968, 53]-code), using construction X applied to Ce(51) ⊂ Ce(46) based on
  1. linear OA(3239, 2187, F3, 52) (dual of [2187, 1948, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
  2. 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]
  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(3246, 2075, F3, 2, 52) (dual of [(2075, 2), 3904, 53]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3246, 2075, F3, 3, 52) (dual of [(2075, 3), 5979, 53]-NRT-code) [i]
3Linear OOA(3246, 2075, F3, 4, 52) (dual of [(2075, 4), 8054, 53]-NRT-code) [i]
4Linear OOA(3246, 2075, F3, 5, 52) (dual of [(2075, 5), 10129, 53]-NRT-code) [i]
5Digital (194, 246, 2075)-net over F3 [i]
6Linear OOA(3246, 1107, F3, 2, 52) (dual of [(1107, 2), 1968, 53]-NRT-code) [i]OOA Folding
7Linear OOA(3246, 738, F3, 3, 52) (dual of [(738, 3), 1968, 53]-NRT-code) [i]
8Linear OOA(3246, 553, F3, 4, 52) (dual of [(553, 4), 1966, 53]-NRT-code) [i]
9Linear OOA(3246, 442, F3, 5, 52) (dual of [(442, 5), 1964, 53]-NRT-code) [i]