Information on Result #952575
Linear OOA(3149, 1594336, F3, 3, 16) (dual of [(1594336, 3), 4782859, 17]-NRT-code), using OOA 3-folding based on linear OA(3149, 4783008, F3, 16) (dual of [4783008, 4782859, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3149, 4783010, F3, 16) (dual of [4783010, 4782861, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(3141, 4782969, F3, 16) (dual of [4782969, 4782828, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(399, 4782969, F3, 11) (dual of [4782969, 4782870, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, 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(3149, 1594336, F3, 4, 16) (dual of [(1594336, 4), 6377195, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3149, 1594336, F3, 5, 16) (dual of [(1594336, 5), 7971531, 17]-NRT-code) | [i] | ||
| 3 | Digital (133, 149, 1594336)-net over F3 | [i] | ||