Information on Result #952556
Linear OOA(3119, 59062, F3, 3, 16) (dual of [(59062, 3), 177067, 17]-NRT-code), using OOA 3-folding based on linear OA(3119, 177186, F3, 16) (dual of [177186, 177067, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3119, 177188, F3, 16) (dual of [177188, 177069, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(378, 177147, F3, 11) (dual of [177147, 177069, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
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(3119, 59062, F3, 3, 15) (dual of [(59062, 3), 177067, 16]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3119, 59062, F3, 4, 16) (dual of [(59062, 4), 236129, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3119, 59062, F3, 5, 16) (dual of [(59062, 5), 295191, 17]-NRT-code) | [i] | ||
| 4 | Digital (103, 119, 59062)-net over F3 | [i] | ||