Information on Result #689547

Linear OA(9134, 59063, F9, 30) (dual of [59063, 58929, 31]-code), using construction XX applied to Ce(29) ⊂ Ce(27) ⊂ Ce(25) based on
  1. linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(91, 12, F9, 1) (dual of [12, 11, 2]-code), using
  5. linear OA(91, 2, F9, 1) (dual of [2, 1, 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(9134, 48130, F9, 2, 30) (dual of [(48130, 2), 96126, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9134, 48130, F9, 3, 30) (dual of [(48130, 3), 144256, 31]-NRT-code) [i]
3Digital (104, 134, 48130)-net over F9 [i]