Information on Result #822984
Linear OOA(4109, 4194301, F4, 2, 13) (dual of [(4194301, 2), 8388493, 14]-NRT-code), using OOA 2-folding based on linear OA(4109, 8388602, F4, 13) (dual of [8388602, 8388493, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(4109, 4194301, F4, 2, 12) (dual of [(4194301, 2), 8388493, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4111, 4194302, F4, 2, 13) (dual of [(4194302, 2), 8388493, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4113, 4194303, F4, 2, 13) (dual of [(4194303, 2), 8388493, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(4110, 4194301, F4, 2, 13) (dual of [(4194301, 2), 8388492, 14]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2218, 8388602, F2, 2, 13) (dual of [(8388602, 2), 16776986, 14]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(4115, 4194306, F4, 2, 13) (dual of [(4194306, 2), 8388497, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4116, 4194310, F4, 2, 13) (dual of [(4194310, 2), 8388504, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(4117, 4194313, F4, 2, 13) (dual of [(4194313, 2), 8388509, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(4118, 4194319, F4, 2, 13) (dual of [(4194319, 2), 8388520, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(4119, 4194327, F4, 2, 13) (dual of [(4194327, 2), 8388535, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(4120, 4194335, F4, 2, 13) (dual of [(4194335, 2), 8388550, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(4123, 4194349, F4, 2, 13) (dual of [(4194349, 2), 8388575, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(4124, 4194353, F4, 2, 13) (dual of [(4194353, 2), 8388582, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(4125, 4194369, F4, 2, 13) (dual of [(4194369, 2), 8388613, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(4126, 4194431, F4, 2, 13) (dual of [(4194431, 2), 8388736, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(4127, 4194496, F4, 2, 13) (dual of [(4194496, 2), 8388865, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(4130, 4194815, F4, 2, 13) (dual of [(4194815, 2), 8389500, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(4131, 4194818, F4, 2, 13) (dual of [(4194818, 2), 8389505, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(4132, 4194819, F4, 2, 13) (dual of [(4194819, 2), 8389506, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(4133, 4195329, F4, 2, 13) (dual of [(4195329, 2), 8390525, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(4134, 4196352, F4, 2, 13) (dual of [(4196352, 2), 8392570, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(4135, 4196353, F4, 2, 13) (dual of [(4196353, 2), 8392571, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(4137, 4197031, F4, 2, 13) (dual of [(4197031, 2), 8393925, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(4138, 4202496, F4, 2, 13) (dual of [(4202496, 2), 8404854, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(4139, 4202497, F4, 2, 13) (dual of [(4202497, 2), 8404855, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(4140, 4202498, F4, 2, 13) (dual of [(4202498, 2), 8404856, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(4141, 4202501, F4, 2, 13) (dual of [(4202501, 2), 8404861, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(4142, 4227073, F4, 2, 13) (dual of [(4227073, 2), 8454004, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(4143, 4227074, F4, 2, 13) (dual of [(4227074, 2), 8454005, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(4145, 4227078, F4, 2, 13) (dual of [(4227078, 2), 8454011, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(4109, 4177305, F4, 3, 13) (dual of [(4177305, 3), 12531806, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 32 | Digital (96, 109, 4177305)-net over F4 | [i] | ||