Information on Result #813438
Linear OOA(398, 3289, F3, 2, 18) (dual of [(3289, 2), 6480, 19]-NRT-code), using OOA 2-folding based on linear OA(398, 6578, F3, 18) (dual of [6578, 6480, 19]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(31, 17, F3, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3100, 3290, F3, 2, 18) (dual of [(3290, 2), 6480, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(399, 3289, F3, 2, 18) (dual of [(3289, 2), 6479, 19]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(398, 3289, F3, 3, 18) (dual of [(3289, 3), 9769, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(398, 3289, F3, 4, 18) (dual of [(3289, 4), 13058, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(398, 3289, F3, 5, 18) (dual of [(3289, 5), 16347, 19]-NRT-code) | [i] | ||
| 6 | Digital (80, 98, 3289)-net over F3 | [i] | ||