Information on Result #674397

Linear OA(341, 1594338, F3, 5) (dual of [1594338, 1594297, 6]-code), using construction X4 applied to Ce(4) ⊂ Ce(3) based on
  1. linear OA(340, 1594323, F3, 5) (dual of [1594323, 1594283, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
  2. linear OA(327, 1594323, F3, 4) (dual of [1594323, 1594296, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
  3. linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
  4. linear OA(31, 15, F3, 1) (dual of [15, 14, 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(341, 1594338, F3, 2, 5) (dual of [(1594338, 2), 3188635, 6]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(341, 1594338, F3, 3, 5) (dual of [(1594338, 3), 4782973, 6]-NRT-code) [i]
3Linear OOA(341, 1594338, F3, 4, 5) (dual of [(1594338, 4), 6377311, 6]-NRT-code) [i]
4Linear OOA(341, 797169, F3, 2, 5) (dual of [(797169, 2), 1594297, 6]-NRT-code) [i]OOA Folding
5Linear OOA(341, 797168, F3, 3, 5) (dual of [(797168, 3), 2391463, 6]-NRT-code) [i]OOA Folding and Stacking with Additional Row
6Linear OOA(341, 797168, F3, 4, 5) (dual of [(797168, 4), 3188631, 6]-NRT-code) [i]
7Linear OOA(341, 797168, F3, 5, 5) (dual of [(797168, 5), 3985799, 6]-NRT-code) [i]