Information on Result #674706

Linear OA(346, 177160, F3, 7) (dual of [177160, 177114, 8]-code), using construction X4 applied to Ce(6) ⊂ Ce(4) based on
  1. linear OA(345, 177147, F3, 7) (dual of [177147, 177102, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(334, 177147, F3, 5) (dual of [177147, 177113, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
  3. linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
  4. linear OA(31, 13, F3, 1) (dual of [13, 12, 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 OA(347, 177161, F3, 7) (dual of [177161, 177114, 8]-code) [i]Code Embedding in Larger Space
2Linear OA(348, 177162, F3, 7) (dual of [177162, 177114, 8]-code) [i]
3Linear OA(345, 177159, F3, 6) (dual of [177159, 177114, 7]-code) [i]Truncation
4Linear OA(348, 177163, F3, 7) (dual of [177163, 177115, 8]-code) [i]Construction X with VarÅ¡amov Bound
5Linear OOA(346, 88580, F3, 2, 7) (dual of [(88580, 2), 177114, 8]-NRT-code) [i]OOA Folding
6Linear OOA(346, 59053, F3, 4, 7) (dual of [(59053, 4), 236166, 8]-NRT-code) [i]OOA Folding and Stacking with Additional Row
7Linear OOA(346, 59053, F3, 5, 7) (dual of [(59053, 5), 295219, 8]-NRT-code) [i]
8Linear OOA(346, 59053, F3, 7, 7) (dual of [(59053, 7), 413325, 8]-NRT-code) [i]