Information on Result #674974

Linear OA(386, 59077, F3, 12) (dual of [59077, 58991, 13]-code), using construction XX applied to Ce(12) ⊂ Ce(9) ⊂ Ce(7) based on
  1. linear OA(381, 59049, F3, 13) (dual of [59049, 58968, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(361, 59049, F3, 10) (dual of [59049, 58988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(351, 59049, F3, 8) (dual of [59049, 58998, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  4. linear OA(31, 24, F3, 1) (dual of [24, 23, 2]-code), using
  5. linear OA(31, 4, F3, 1) (dual of [4, 3, 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(386, 29538, F3, 2, 12) (dual of [(29538, 2), 58990, 13]-NRT-code) [i]OOA Folding
2Linear OOA(386, 19692, F3, 3, 12) (dual of [(19692, 3), 58990, 13]-NRT-code) [i]
3Linear OOA(386, 14769, F3, 4, 12) (dual of [(14769, 4), 58990, 13]-NRT-code) [i]
4Linear OOA(386, 11815, F3, 5, 12) (dual of [(11815, 5), 58989, 13]-NRT-code) [i]
5Linear OOA(386, 9846, F3, 12, 12) (dual of [(9846, 12), 118066, 13]-NRT-code) [i]OA Folding and Stacking