Information on Result #677198
Linear OA(352, 249, F3, 16) (dual of [249, 197, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- linear OA(351, 243, F3, 16) (dual of [243, 192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(346, 243, F3, 14) (dual of [243, 197, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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(352, 155, F3, 2, 16) (dual of [(155, 2), 258, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(352, 155, F3, 3, 16) (dual of [(155, 3), 413, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(352, 155, F3, 4, 16) (dual of [(155, 4), 568, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(352, 155, F3, 5, 16) (dual of [(155, 5), 723, 17]-NRT-code) | [i] | ||
| 5 | Digital (36, 52, 155)-net over F3 | [i] | ||
| 6 | Linear OOA(352, 124, F3, 2, 16) (dual of [(124, 2), 196, 17]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(352, 83, F3, 3, 16) (dual of [(83, 3), 197, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(352, 62, F3, 4, 16) (dual of [(62, 4), 196, 17]-NRT-code) | [i] | ||