Information on Result #679652
Linear OA(474, 4109, F4, 16) (dual of [4109, 4035, 17]-code), using construction X applied to Ce(16) ⊂ Ce(13) 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(461, 4096, F4, 14) (dual of [4096, 4035, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(474, 2767, F4, 2, 16) (dual of [(2767, 2), 5460, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(474, 2767, F4, 3, 16) (dual of [(2767, 3), 8227, 17]-NRT-code) | [i] | ||
| 3 | Digital (58, 74, 2767)-net over F4 | [i] | ||
| 4 | Linear OA(477, 4120, F4, 16) (dual of [4120, 4043, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(478, 4134, F4, 16) (dual of [4134, 4056, 17]-code) | [i] | ||
| 6 | Linear OA(479, 4162, F4, 16) (dual of [4162, 4083, 17]-code) | [i] | ||
| 7 | Linear OA(480, 4216, F4, 16) (dual of [4216, 4136, 17]-code) | [i] | ||
| 8 | Linear OA(481, 4315, F4, 16) (dual of [4315, 4234, 17]-code) | [i] | ||
| 9 | Linear OA(482, 4484, F4, 16) (dual of [4484, 4402, 17]-code) | [i] | ||
| 10 | Linear OOA(474, 2054, F4, 2, 16) (dual of [(2054, 2), 4034, 17]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(474, 1369, F4, 3, 16) (dual of [(1369, 3), 4033, 17]-NRT-code) | [i] | ||