Information on Result #962437
Linear OOA(4217, 2796201, F4, 3, 25) (dual of [(2796201, 3), 8388386, 26]-NRT-code), using OOA 3-folding based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4217, 2796201, F4, 3, 24) (dual of [(2796201, 3), 8388386, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4220, 2796202, F4, 3, 25) (dual of [(2796202, 3), 8388386, 26]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4223, 2796203, F4, 3, 25) (dual of [(2796203, 3), 8388386, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(4226, 2796204, F4, 3, 25) (dual of [(2796204, 3), 8388386, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(4218, 2796201, F4, 3, 25) (dual of [(2796201, 3), 8388385, 26]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(4219, 2796201, F4, 3, 25) (dual of [(2796201, 3), 8388384, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(4229, 2796206, F4, 3, 25) (dual of [(2796206, 3), 8388389, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(4230, 2796210, F4, 3, 25) (dual of [(2796210, 3), 8388400, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(4231, 2796211, F4, 3, 25) (dual of [(2796211, 3), 8388402, 26]-NRT-code) | [i] | ||
| 10 | Linear OOA(4232, 2796215, F4, 3, 25) (dual of [(2796215, 3), 8388413, 26]-NRT-code) | [i] | ||
| 11 | Linear OOA(4233, 2796216, F4, 3, 25) (dual of [(2796216, 3), 8388415, 26]-NRT-code) | [i] | ||
| 12 | Linear OOA(4234, 2796218, F4, 3, 25) (dual of [(2796218, 3), 8388420, 26]-NRT-code) | [i] | ||
| 13 | Linear OOA(4235, 2796219, F4, 3, 25) (dual of [(2796219, 3), 8388422, 26]-NRT-code) | [i] | ||
| 14 | Linear OOA(4236, 2796222, F4, 3, 25) (dual of [(2796222, 3), 8388430, 26]-NRT-code) | [i] | ||
| 15 | Linear OOA(4238, 2796224, F4, 3, 25) (dual of [(2796224, 3), 8388434, 26]-NRT-code) | [i] | ||
| 16 | Linear OOA(4239, 2796228, F4, 3, 25) (dual of [(2796228, 3), 8388445, 26]-NRT-code) | [i] | ||
| 17 | Linear OOA(4241, 2796235, F4, 3, 25) (dual of [(2796235, 3), 8388464, 26]-NRT-code) | [i] | ||
| 18 | Linear OOA(4243, 2796249, F4, 3, 25) (dual of [(2796249, 3), 8388504, 26]-NRT-code) | [i] | ||
| 19 | Linear OOA(4245, 2796267, F4, 3, 25) (dual of [(2796267, 3), 8388556, 26]-NRT-code) | [i] | ||
| 20 | Linear OOA(4247, 2796277, F4, 3, 25) (dual of [(2796277, 3), 8388584, 26]-NRT-code) | [i] | ||
| 21 | Linear OOA(4249, 2796291, F4, 3, 25) (dual of [(2796291, 3), 8388624, 26]-NRT-code) | [i] | ||
| 22 | Linear OOA(4251, 2796299, F4, 3, 25) (dual of [(2796299, 3), 8388646, 26]-NRT-code) | [i] | ||
| 23 | Linear OOA(4253, 2796396, F4, 3, 25) (dual of [(2796396, 3), 8388935, 26]-NRT-code) | [i] | ||
| 24 | Linear OOA(4256, 2796441, F4, 3, 25) (dual of [(2796441, 3), 8389067, 26]-NRT-code) | [i] | ||
| 25 | OOA(4259, 2796588, S4, 3, 25) | [i] | ||
| 26 | Digital (192, 217, 2796201)-net over F4 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |