Information on Result #813249
Linear OOA(388, 3294, F3, 2, 16) (dual of [(3294, 2), 6500, 17]-NRT-code), using OOA 2-folding based on linear OA(388, 6588, F3, 16) (dual of [6588, 6500, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(388, 3294, F3, 3, 16) (dual of [(3294, 3), 9794, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(388, 3294, F3, 4, 16) (dual of [(3294, 4), 13088, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(388, 3294, F3, 5, 16) (dual of [(3294, 5), 16382, 17]-NRT-code) | [i] | ||
| 4 | Digital (72, 88, 3294)-net over F3 | [i] | ||