Information on Result #813237
Linear OOA(376, 1103, F3, 2, 16) (dual of [(1103, 2), 2130, 17]-NRT-code), using OOA 2-folding based on linear OA(376, 2206, F3, 16) (dual of [2206, 2130, 17]-code), using
- 1 times code embedding in larger space [i] based on linear OA(375, 2205, F3, 16) (dual of [2205, 2130, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(371, 2187, F3, 16) (dual of [2187, 2116, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(34, 18, F3, 2) (dual of [18, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [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(376, 1103, F3, 3, 16) (dual of [(1103, 3), 3233, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(376, 1103, F3, 4, 16) (dual of [(1103, 4), 4336, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(376, 1103, F3, 5, 16) (dual of [(1103, 5), 5439, 17]-NRT-code) | [i] | ||
| 4 | Digital (60, 76, 1103)-net over F3 | [i] | ||