Information on Result #823843
Linear OOA(4193, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388409, 23]-NRT-code), using OOA 2-folding based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [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(4195, 4194302, F4, 2, 22) (dual of [(4194302, 2), 8388409, 23]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4197, 4194303, F4, 2, 22) (dual of [(4194303, 2), 8388409, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(4199, 4194304, F4, 2, 22) (dual of [(4194304, 2), 8388409, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(4201, 4194305, F4, 2, 22) (dual of [(4194305, 2), 8388409, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(4203, 4194306, F4, 2, 22) (dual of [(4194306, 2), 8388409, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(4194, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388408, 23]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(4204, 4194307, F4, 2, 22) (dual of [(4194307, 2), 8388410, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(4205, 4194310, F4, 2, 22) (dual of [(4194310, 2), 8388415, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(4206, 4194311, F4, 2, 22) (dual of [(4194311, 2), 8388416, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(4207, 4194315, F4, 2, 22) (dual of [(4194315, 2), 8388423, 23]-NRT-code) | [i] | ||
| 11 | Linear OOA(4208, 4194316, F4, 2, 22) (dual of [(4194316, 2), 8388424, 23]-NRT-code) | [i] | ||
| 12 | Linear OOA(4209, 4194318, F4, 2, 22) (dual of [(4194318, 2), 8388427, 23]-NRT-code) | [i] | ||
| 13 | Linear OOA(4210, 4194319, F4, 2, 22) (dual of [(4194319, 2), 8388428, 23]-NRT-code) | [i] | ||
| 14 | Linear OOA(4211, 4194322, F4, 2, 22) (dual of [(4194322, 2), 8388433, 23]-NRT-code) | [i] | ||
| 15 | Linear OOA(4213, 4194324, F4, 2, 22) (dual of [(4194324, 2), 8388435, 23]-NRT-code) | [i] | ||
| 16 | Linear OOA(4214, 4194329, F4, 2, 22) (dual of [(4194329, 2), 8388444, 23]-NRT-code) | [i] | ||
| 17 | Linear OOA(4215, 4194335, F4, 2, 22) (dual of [(4194335, 2), 8388455, 23]-NRT-code) | [i] | ||
| 18 | Linear OOA(4217, 4194349, F4, 2, 22) (dual of [(4194349, 2), 8388481, 23]-NRT-code) | [i] | ||
| 19 | Linear OOA(4219, 4194367, F4, 2, 22) (dual of [(4194367, 2), 8388515, 23]-NRT-code) | [i] | ||
| 20 | Linear OOA(4221, 4194377, F4, 2, 22) (dual of [(4194377, 2), 8388533, 23]-NRT-code) | [i] | ||
| 21 | Linear OOA(4223, 4194391, F4, 2, 22) (dual of [(4194391, 2), 8388559, 23]-NRT-code) | [i] | ||
| 22 | Linear OOA(4225, 4194399, F4, 2, 22) (dual of [(4194399, 2), 8388573, 23]-NRT-code) | [i] | ||
| 23 | Linear OOA(4226, 4194496, F4, 2, 22) (dual of [(4194496, 2), 8388766, 23]-NRT-code) | [i] | ||
| 24 | Linear OOA(4229, 4194541, F4, 2, 22) (dual of [(4194541, 2), 8388853, 23]-NRT-code) | [i] | ||
| 25 | Linear OOA(4234, 4194817, F4, 2, 22) (dual of [(4194817, 2), 8389400, 23]-NRT-code) | [i] | ||
| 26 | Linear OOA(4235, 4194819, F4, 2, 22) (dual of [(4194819, 2), 8389403, 23]-NRT-code) | [i] | ||
| 27 | Linear OOA(4236, 4194821, F4, 2, 22) (dual of [(4194821, 2), 8389406, 23]-NRT-code) | [i] | ||
| 28 | Linear OOA(4237, 4195329, F4, 2, 22) (dual of [(4195329, 2), 8390421, 23]-NRT-code) | [i] | ||
| 29 | Linear OOA(4241, 4195333, F4, 2, 22) (dual of [(4195333, 2), 8390425, 23]-NRT-code) | [i] | ||
| 30 | OOA(4232, 4194688, S4, 2, 22) | [i] | ||
| 31 | Linear OOA(4193, 2981119, F4, 3, 22) (dual of [(2981119, 3), 8943164, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 32 | Digital (171, 193, 2981119)-net over F4 | [i] | ||