Information on Result #823431
Linear OOA(4157, 4194301, F4, 2, 18) (dual of [(4194301, 2), 8388445, 19]-NRT-code), using OOA 2-folding based on linear OA(4157, 8388602, F4, 18) (dual of [8388602, 8388445, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(4159, 4194302, F4, 2, 18) (dual of [(4194302, 2), 8388445, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4161, 4194303, F4, 2, 18) (dual of [(4194303, 2), 8388445, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(4163, 4194304, F4, 2, 18) (dual of [(4194304, 2), 8388445, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(4165, 4194305, F4, 2, 18) (dual of [(4194305, 2), 8388445, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(4158, 4194301, F4, 2, 18) (dual of [(4194301, 2), 8388444, 19]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(4166, 4194306, F4, 2, 18) (dual of [(4194306, 2), 8388446, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4167, 4194310, F4, 2, 18) (dual of [(4194310, 2), 8388453, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(4168, 4194311, F4, 2, 18) (dual of [(4194311, 2), 8388454, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(4169, 4194315, F4, 2, 18) (dual of [(4194315, 2), 8388461, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(4170, 4194316, F4, 2, 18) (dual of [(4194316, 2), 8388462, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(4171, 4194318, F4, 2, 18) (dual of [(4194318, 2), 8388465, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(4172, 4194319, F4, 2, 18) (dual of [(4194319, 2), 8388466, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(4173, 4194322, F4, 2, 18) (dual of [(4194322, 2), 8388471, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(4174, 4194325, F4, 2, 18) (dual of [(4194325, 2), 8388476, 19]-NRT-code) | [i] | ||
| 15 | Linear OOA(4175, 4194335, F4, 2, 18) (dual of [(4194335, 2), 8388495, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(4177, 4194349, F4, 2, 18) (dual of [(4194349, 2), 8388521, 19]-NRT-code) | [i] | ||
| 17 | Linear OOA(4179, 4194367, F4, 2, 18) (dual of [(4194367, 2), 8388555, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(4181, 4194377, F4, 2, 18) (dual of [(4194377, 2), 8388573, 19]-NRT-code) | [i] | ||
| 19 | Linear OOA(4182, 4194429, F4, 2, 18) (dual of [(4194429, 2), 8388676, 19]-NRT-code) | [i] | ||
| 20 | Linear OOA(4183, 4194431, F4, 2, 18) (dual of [(4194431, 2), 8388679, 19]-NRT-code) | [i] | ||
| 21 | Linear OOA(4184, 4194496, F4, 2, 18) (dual of [(4194496, 2), 8388808, 19]-NRT-code) | [i] | ||
| 22 | Linear OOA(4187, 4194541, F4, 2, 18) (dual of [(4194541, 2), 8388895, 19]-NRT-code) | [i] | ||
| 23 | Linear OOA(4188, 4194813, F4, 2, 18) (dual of [(4194813, 2), 8389438, 19]-NRT-code) | [i] | ||
| 24 | Linear OOA(4189, 4194816, F4, 2, 18) (dual of [(4194816, 2), 8389443, 19]-NRT-code) | [i] | ||
| 25 | Linear OOA(4190, 4194818, F4, 2, 18) (dual of [(4194818, 2), 8389446, 19]-NRT-code) | [i] | ||
| 26 | Linear OOA(4191, 4194819, F4, 2, 18) (dual of [(4194819, 2), 8389447, 19]-NRT-code) | [i] | ||
| 27 | Linear OOA(4192, 4194822, F4, 2, 18) (dual of [(4194822, 2), 8389452, 19]-NRT-code) | [i] | ||
| 28 | Linear OOA(4193, 4195329, F4, 2, 18) (dual of [(4195329, 2), 8390465, 19]-NRT-code) | [i] | ||
| 29 | Linear OOA(4157, 3563941, F4, 3, 18) (dual of [(3563941, 3), 10691666, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 30 | Digital (139, 157, 3563941)-net over F4 | [i] | ||