Information on Result #1298227

Linear OA(394, 177177, F3, 12) (dual of [177177, 177083, 13]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(390, 177171, F3, 12) (dual of [177171, 177081, 13]-code), using
    • construction X4 applied to Ce(12) ⊂ Ce(9) [i] based on
      1. linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      2. linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
      3. linear OA(323, 24, F3, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,3)), using
      4. linear OA(31, 24, F3, 1) (dual of [24, 23, 2]-code), using
  2. linear OA(390, 177173, F3, 9) (dual of [177173, 177083, 10]-code), using Gilbert–VarÅ¡amov bound and bm = 390 > Vbs−1(k−1) = 6163 413608 145158 977671 819957 801215 511441 [i]
  3. linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using

Mode: 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(394, 88588, F3, 2, 12) (dual of [(88588, 2), 177082, 13]-NRT-code) [i]OOA Folding
2Linear OOA(394, 59059, F3, 3, 12) (dual of [(59059, 3), 177083, 13]-NRT-code) [i]
3Linear OOA(394, 44294, F3, 4, 12) (dual of [(44294, 4), 177082, 13]-NRT-code) [i]