Information on Result #1299580

Linear OA(3233, 6635, F3, 40) (dual of [6635, 6402, 41]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3230, 6630, F3, 40) (dual of [6630, 6400, 41]-code), using
    • construction X applied to Ce(39) ⊂ Ce(30) [i] based on
      1. linear OA(3209, 6561, F3, 40) (dual of [6561, 6352, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
      2. linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
      3. linear OA(321, 69, F3, 8) (dual of [69, 48, 9]-code), using
  2. linear OA(3230, 6632, F3, 38) (dual of [6632, 6402, 39]-code), using Gilbert–VarÅ¡amov bound and bm = 3230 > Vbs−1(k−1) = 22 662991 934993 935187 690911 289964 388696 403240 802515 695612 037932 145548 230212 555333 465287 763540 410444 948883 730699 [i]
  3. linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), 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(3233, 3317, F3, 2, 40) (dual of [(3317, 2), 6401, 41]-NRT-code) [i]OOA Folding