Information on Result #1298414

Linear OA(3110, 1594357, F3, 12) (dual of [1594357, 1594247, 13]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3106, 1594351, F3, 12) (dual of [1594351, 1594245, 13]-code), using
    • construction X4 applied to Ce(12) ⊂ Ce(9) [i] based on
      1. linear OA(3105, 1594323, F3, 13) (dual of [1594323, 1594218, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      2. linear OA(379, 1594323, F3, 10) (dual of [1594323, 1594244, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
      3. linear OA(327, 28, F3, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,3)), using
      4. linear OA(31, 28, F3, 1) (dual of [28, 27, 2]-code), using
  2. linear OA(3106, 1594353, F3, 9) (dual of [1594353, 1594247, 10]-code), using Gilbert–VarÅ¡amov bound and bm = 3106 > Vbs−1(k−1) = 265085 877710 653561 599327 960431 322500 144166 373569 [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(3110, 797178, F3, 2, 12) (dual of [(797178, 2), 1594246, 13]-NRT-code) [i]OOA Folding
2Linear OOA(3110, 531452, F3, 3, 12) (dual of [(531452, 3), 1594246, 13]-NRT-code) [i]
3Linear OOA(3110, 398589, F3, 4, 12) (dual of [(398589, 4), 1594246, 13]-NRT-code) [i]