Information on Result #823522
Linear OOA(4169, 4194301, F4, 2, 19) (dual of [(4194301, 2), 8388433, 20]-NRT-code), using OOA 2-folding based on linear OA(4169, 8388602, F4, 19) (dual of [8388602, 8388433, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4171, 4194302, F4, 2, 19) (dual of [(4194302, 2), 8388433, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4173, 4194303, F4, 2, 19) (dual of [(4194303, 2), 8388433, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(4175, 4194304, F4, 2, 19) (dual of [(4194304, 2), 8388433, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(4177, 4194305, F4, 2, 19) (dual of [(4194305, 2), 8388433, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(4170, 4194301, F4, 2, 19) (dual of [(4194301, 2), 8388432, 20]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(4178, 4194306, F4, 2, 19) (dual of [(4194306, 2), 8388434, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4179, 4194310, F4, 2, 19) (dual of [(4194310, 2), 8388441, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(4180, 4194311, F4, 2, 19) (dual of [(4194311, 2), 8388442, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(4181, 4194315, F4, 2, 19) (dual of [(4194315, 2), 8388449, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(4182, 4194316, F4, 2, 19) (dual of [(4194316, 2), 8388450, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(4183, 4194318, F4, 2, 19) (dual of [(4194318, 2), 8388453, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(4184, 4194319, F4, 2, 19) (dual of [(4194319, 2), 8388454, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(4185, 4194322, F4, 2, 19) (dual of [(4194322, 2), 8388459, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(4186, 4194325, F4, 2, 19) (dual of [(4194325, 2), 8388464, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(4187, 4194335, F4, 2, 19) (dual of [(4194335, 2), 8388483, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(4189, 4194349, F4, 2, 19) (dual of [(4194349, 2), 8388509, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(4191, 4194367, F4, 2, 19) (dual of [(4194367, 2), 8388543, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(4193, 4194377, F4, 2, 19) (dual of [(4194377, 2), 8388561, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(4194, 4194429, F4, 2, 19) (dual of [(4194429, 2), 8388664, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(4195, 4194431, F4, 2, 19) (dual of [(4194431, 2), 8388667, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(4196, 4194496, F4, 2, 19) (dual of [(4194496, 2), 8388796, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(4199, 4194541, F4, 2, 19) (dual of [(4194541, 2), 8388883, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(4200, 4194813, F4, 2, 19) (dual of [(4194813, 2), 8389426, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(4201, 4194816, F4, 2, 19) (dual of [(4194816, 2), 8389431, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(4202, 4194818, F4, 2, 19) (dual of [(4194818, 2), 8389434, 20]-NRT-code) | [i] | ||
| 26 | Linear OOA(4203, 4194819, F4, 2, 19) (dual of [(4194819, 2), 8389435, 20]-NRT-code) | [i] | ||
| 27 | Linear OOA(4204, 4194822, F4, 2, 19) (dual of [(4194822, 2), 8389440, 20]-NRT-code) | [i] | ||
| 28 | Linear OOA(4205, 4195329, F4, 2, 19) (dual of [(4195329, 2), 8390453, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(4169, 4194301, F4, 3, 19) (dual of [(4194301, 3), 12582734, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 30 | Digital (150, 169, 4194301)-net over F4 | [i] | ||