Information on Result #677104
Linear OA(360, 371, F3, 16) (dual of [371, 311, 17]-code), using construction XX applied to Ce(15) ⊂ Ce(13) ⊂ Ce(12) based on
- 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]
- linear OA(355, 365, F3, 14) (dual of [365, 310, 15]-code), using an extension Ce(13) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(349, 365, F3, 13) (dual of [365, 316, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 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
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(360, 298, F3, 2, 16) (dual of [(298, 2), 536, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(360, 298, F3, 3, 16) (dual of [(298, 3), 834, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(360, 298, F3, 4, 16) (dual of [(298, 4), 1132, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(360, 298, F3, 5, 16) (dual of [(298, 5), 1430, 17]-NRT-code) | [i] | ||
| 5 | Digital (44, 60, 298)-net over F3 | [i] | ||
| 6 | Linear OOA(360, 185, F3, 2, 16) (dual of [(185, 2), 310, 17]-NRT-code) | [i] | OOA Folding | |