Information on Result #677079

Linear OA(364, 371, F3, 17) (dual of [371, 307, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
  1. linear OA(364, 365, F3, 17) (dual of [365, 301, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(358, 365, F3, 16) (dual of [365, 307, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-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(364, 185, F3, 2, 17) (dual of [(185, 2), 306, 18]-NRT-code) [i]OOA Folding
2Linear OOA(364, 123, F3, 3, 17) (dual of [(123, 3), 305, 18]-NRT-code) [i]