Information on Result #822841
Linear OOA(497, 4194301, F4, 2, 11) (dual of [(4194301, 2), 8388505, 12]-NRT-code), using OOA 2-folding based on linear OA(497, 8388602, F4, 11) (dual of [8388602, 8388505, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(499, 4194302, F4, 2, 11) (dual of [(4194302, 2), 8388505, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4101, 4194303, F4, 2, 11) (dual of [(4194303, 2), 8388505, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(498, 4194301, F4, 2, 11) (dual of [(4194301, 2), 8388504, 12]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4102, 4194306, F4, 2, 11) (dual of [(4194306, 2), 8388510, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(4103, 4194310, F4, 2, 11) (dual of [(4194310, 2), 8388517, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(4104, 4194317, F4, 2, 11) (dual of [(4194317, 2), 8388530, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(4105, 4194327, F4, 2, 11) (dual of [(4194327, 2), 8388549, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(4106, 4194337, F4, 2, 11) (dual of [(4194337, 2), 8388568, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(4107, 4194365, F4, 2, 11) (dual of [(4194365, 2), 8388623, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(4108, 4194382, F4, 2, 11) (dual of [(4194382, 2), 8388656, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(4110, 4194429, F4, 2, 11) (dual of [(4194429, 2), 8388748, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(4111, 4194542, F4, 2, 11) (dual of [(4194542, 2), 8388973, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(4113, 4194813, F4, 2, 11) (dual of [(4194813, 2), 8389513, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(4114, 4194816, F4, 2, 11) (dual of [(4194816, 2), 8389518, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(4115, 4194818, F4, 2, 11) (dual of [(4194818, 2), 8389521, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(4116, 4196349, F4, 2, 11) (dual of [(4196349, 2), 8392582, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(4117, 4196353, F4, 2, 11) (dual of [(4196353, 2), 8392589, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(4118, 4200350, F4, 2, 11) (dual of [(4200350, 2), 8400582, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(4119, 4202493, F4, 2, 11) (dual of [(4202493, 2), 8404867, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(4120, 4202497, F4, 2, 11) (dual of [(4202497, 2), 8404874, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(4121, 4202498, F4, 2, 11) (dual of [(4202498, 2), 8404875, 12]-NRT-code) | [i] | ||
| 22 | OOA(4115, 4195294, S4, 2, 11) | [i] | ||
| 23 | Linear OOA(497, 4194301, F4, 3, 11) (dual of [(4194301, 3), 12582806, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 24 | Digital (86, 97, 4194301)-net over F4 | [i] | ||