Information on Result #679726
Linear OA(476, 4117, F4, 16) (dual of [4117, 4041, 17]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(473, 4096, F4, 17) (dual of [4096, 4023, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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(476, 3375, F4, 2, 16) (dual of [(3375, 2), 6674, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(476, 3375, F4, 3, 16) (dual of [(3375, 3), 10049, 17]-NRT-code) | [i] | ||
| 3 | Digital (60, 76, 3375)-net over F4 | [i] | ||
| 4 | Linear OA(478, 4120, F4, 16) (dual of [4120, 4042, 17]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(479, 4122, F4, 16) (dual of [4122, 4043, 17]-code) | [i] | ||
| 6 | Linear OOA(476, 2058, F4, 2, 16) (dual of [(2058, 2), 4040, 17]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(476, 1372, F4, 3, 16) (dual of [(1372, 3), 4040, 17]-NRT-code) | [i] | ||