Information on Result #1303136

Linear OA(949, 6578, F9, 13) (dual of [6578, 6529, 14]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(948, 6576, F9, 13) (dual of [6576, 6528, 14]-code), using
    • construction X applied to Ce(12) ⊂ Ce(9) [i] based on
      1. linear OA(945, 6561, F9, 13) (dual of [6561, 6516, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      2. linear OA(933, 6561, F9, 10) (dual of [6561, 6528, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
      3. linear OA(93, 15, F9, 2) (dual of [15, 12, 3]-code), using
  2. linear OA(948, 6577, F9, 12) (dual of [6577, 6529, 13]-code), using Gilbert–VarÅ¡amov bound and bm = 948 > Vbs−1(k−1) = 212 261231 251649 502119 028695 324261 242354 538369 [i]
  3. linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-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(949, 6578, F9, 2, 13) (dual of [(6578, 2), 13107, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(949, 6578, F9, 3, 13) (dual of [(6578, 3), 19685, 14]-NRT-code) [i]
3Digital (36, 49, 6578)-net over F9 [i]
4Linear OOA(949, 3289, F9, 2, 13) (dual of [(3289, 2), 6529, 14]-NRT-code) [i]OOA Folding