Information on Result #961704
Linear OOA(4145, 2796201, F4, 3, 17) (dual of [(2796201, 3), 8388458, 18]-NRT-code), using OOA 3-folding based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(4145, 2796201, F4, 3, 16) (dual of [(2796201, 3), 8388458, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4148, 2796202, F4, 3, 17) (dual of [(2796202, 3), 8388458, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4151, 2796203, F4, 3, 17) (dual of [(2796203, 3), 8388458, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(4146, 2796201, F4, 3, 17) (dual of [(2796201, 3), 8388457, 18]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4147, 2796201, F4, 3, 17) (dual of [(2796201, 3), 8388456, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(4153, 2796206, F4, 3, 17) (dual of [(2796206, 3), 8388465, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4154, 2796210, F4, 3, 17) (dual of [(2796210, 3), 8388476, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(4155, 2796211, F4, 3, 17) (dual of [(2796211, 3), 8388478, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(4156, 2796215, F4, 3, 17) (dual of [(2796215, 3), 8388489, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(4157, 2796218, F4, 3, 17) (dual of [(2796218, 3), 8388497, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(4159, 2796219, F4, 3, 17) (dual of [(2796219, 3), 8388498, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(4160, 2796222, F4, 3, 17) (dual of [(2796222, 3), 8388506, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(4161, 2796235, F4, 3, 17) (dual of [(2796235, 3), 8388544, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(4163, 2796249, F4, 3, 17) (dual of [(2796249, 3), 8388584, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(4165, 2796267, F4, 3, 17) (dual of [(2796267, 3), 8388636, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(4167, 2796277, F4, 3, 17) (dual of [(2796277, 3), 8388664, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(4169, 2796396, F4, 3, 17) (dual of [(2796396, 3), 8389019, 18]-NRT-code) | [i] | ||
| 18 | Linear OOA(4172, 2796441, F4, 3, 17) (dual of [(2796441, 3), 8389151, 18]-NRT-code) | [i] | ||
| 19 | Linear OOA(4174, 2796458, F4, 3, 17) (dual of [(2796458, 3), 8389200, 18]-NRT-code) | [i] | ||
| 20 | Linear OOA(4175, 2796715, F4, 3, 17) (dual of [(2796715, 3), 8389970, 18]-NRT-code) | [i] | ||
| 21 | Linear OOA(4177, 2797229, F4, 3, 17) (dual of [(2797229, 3), 8391510, 18]-NRT-code) | [i] | ||
| 22 | Linear OOA(4181, 2797566, F4, 3, 17) (dual of [(2797566, 3), 8392517, 18]-NRT-code) | [i] | ||
| 23 | OOA(4173, 2796459, S4, 3, 17) | [i] | ||