Information on Result #823627
Linear OOA(4180, 4194301, F4, 2, 20) (dual of [(4194301, 2), 8388422, 21]-NRT-code), using OOA 2-folding based on linear OA(4180, 8388602, F4, 20) (dual of [8388602, 8388422, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4182, 4194302, F4, 2, 20) (dual of [(4194302, 2), 8388422, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4184, 4194303, F4, 2, 20) (dual of [(4194303, 2), 8388422, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(4186, 4194304, F4, 2, 20) (dual of [(4194304, 2), 8388422, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(4188, 4194305, F4, 2, 20) (dual of [(4194305, 2), 8388422, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(4190, 4194306, F4, 2, 20) (dual of [(4194306, 2), 8388422, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(4191, 4194310, F4, 2, 20) (dual of [(4194310, 2), 8388429, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4192, 4194311, F4, 2, 20) (dual of [(4194311, 2), 8388430, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(4193, 4194315, F4, 2, 20) (dual of [(4194315, 2), 8388437, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(4194, 4194316, F4, 2, 20) (dual of [(4194316, 2), 8388438, 21]-NRT-code) | [i] | ||
| 10 | Linear OOA(4195, 4194318, F4, 2, 20) (dual of [(4194318, 2), 8388441, 21]-NRT-code) | [i] | ||
| 11 | Linear OOA(4196, 4194319, F4, 2, 20) (dual of [(4194319, 2), 8388442, 21]-NRT-code) | [i] | ||
| 12 | Linear OOA(4197, 4194322, F4, 2, 20) (dual of [(4194322, 2), 8388447, 21]-NRT-code) | [i] | ||
| 13 | Linear OOA(4199, 4194324, F4, 2, 20) (dual of [(4194324, 2), 8388449, 21]-NRT-code) | [i] | ||
| 14 | Linear OOA(4200, 4194335, F4, 2, 20) (dual of [(4194335, 2), 8388470, 21]-NRT-code) | [i] | ||
| 15 | Linear OOA(4202, 4194349, F4, 2, 20) (dual of [(4194349, 2), 8388496, 21]-NRT-code) | [i] | ||
| 16 | Linear OOA(4204, 4194367, F4, 2, 20) (dual of [(4194367, 2), 8388530, 21]-NRT-code) | [i] | ||
| 17 | Linear OOA(4206, 4194377, F4, 2, 20) (dual of [(4194377, 2), 8388548, 21]-NRT-code) | [i] | ||
| 18 | Linear OOA(4208, 4194391, F4, 2, 20) (dual of [(4194391, 2), 8388574, 21]-NRT-code) | [i] | ||
| 19 | Linear OOA(4209, 4194431, F4, 2, 20) (dual of [(4194431, 2), 8388653, 21]-NRT-code) | [i] | ||
| 20 | Linear OOA(4210, 4194496, F4, 2, 20) (dual of [(4194496, 2), 8388782, 21]-NRT-code) | [i] | ||
| 21 | Linear OOA(4213, 4194541, F4, 2, 20) (dual of [(4194541, 2), 8388869, 21]-NRT-code) | [i] | ||
| 22 | Linear OOA(4216, 4194815, F4, 2, 20) (dual of [(4194815, 2), 8389414, 21]-NRT-code) | [i] | ||
| 23 | Linear OOA(4217, 4194818, F4, 2, 20) (dual of [(4194818, 2), 8389419, 21]-NRT-code) | [i] | ||
| 24 | Linear OOA(4180, 4194301, F4, 3, 20) (dual of [(4194301, 3), 12582723, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 25 | Digital (160, 180, 4194301)-net over F4 | [i] | ||