Information on Result #677080
Linear OA(359, 369, F3, 16) (dual of [369, 310, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) 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(31, 4, F3, 1) (dual of [4, 3, 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 OA(358, 368, F3, 15) (dual of [368, 310, 16]-code) | [i] | Truncation | |
| 2 | Linear OOA(359, 275, F3, 2, 16) (dual of [(275, 2), 491, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(359, 275, F3, 3, 16) (dual of [(275, 3), 766, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(359, 275, F3, 4, 16) (dual of [(275, 4), 1041, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(359, 275, F3, 5, 16) (dual of [(275, 5), 1316, 17]-NRT-code) | [i] | ||
| 6 | Digital (43, 59, 275)-net over F3 | [i] | ||
| 7 | Linear OOA(359, 184, F3, 2, 16) (dual of [(184, 2), 309, 17]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(359, 123, F3, 3, 16) (dual of [(123, 3), 310, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(359, 92, F3, 4, 16) (dual of [(92, 4), 309, 17]-NRT-code) | [i] | ||