Information on Result #823071
Linear OOA(4121, 4194301, F4, 2, 14) (dual of [(4194301, 2), 8388481, 15]-NRT-code), using OOA 2-folding based on linear OA(4121, 8388602, F4, 14) (dual of [8388602, 8388481, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(4123, 4194302, F4, 2, 14) (dual of [(4194302, 2), 8388481, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4125, 4194303, F4, 2, 14) (dual of [(4194303, 2), 8388481, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(4127, 4194304, F4, 2, 14) (dual of [(4194304, 2), 8388481, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(4122, 4194301, F4, 2, 14) (dual of [(4194301, 2), 8388480, 15]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2242, 8388602, F2, 2, 14) (dual of [(8388602, 2), 16776962, 15]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(4128, 4194306, F4, 2, 14) (dual of [(4194306, 2), 8388484, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4129, 4194310, F4, 2, 14) (dual of [(4194310, 2), 8388491, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(4130, 4194311, F4, 2, 14) (dual of [(4194311, 2), 8388492, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(4131, 4194316, F4, 2, 14) (dual of [(4194316, 2), 8388501, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(4132, 4194321, F4, 2, 14) (dual of [(4194321, 2), 8388510, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(4135, 4194335, F4, 2, 14) (dual of [(4194335, 2), 8388535, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(4136, 4194338, F4, 2, 14) (dual of [(4194338, 2), 8388540, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(4137, 4194349, F4, 2, 14) (dual of [(4194349, 2), 8388561, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(4139, 4194367, F4, 2, 14) (dual of [(4194367, 2), 8388595, 15]-NRT-code) | [i] | ||
| 15 | Linear OOA(4140, 4194369, F4, 2, 14) (dual of [(4194369, 2), 8388598, 15]-NRT-code) | [i] | ||
| 16 | Linear OOA(4141, 4194377, F4, 2, 14) (dual of [(4194377, 2), 8388613, 15]-NRT-code) | [i] | ||
| 17 | Linear OOA(4142, 4194496, F4, 2, 14) (dual of [(4194496, 2), 8388850, 15]-NRT-code) | [i] | ||
| 18 | Linear OOA(4145, 4194541, F4, 2, 14) (dual of [(4194541, 2), 8388937, 15]-NRT-code) | [i] | ||
| 19 | Linear OOA(4146, 4194558, F4, 2, 14) (dual of [(4194558, 2), 8388970, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(4147, 4194817, F4, 2, 14) (dual of [(4194817, 2), 8389487, 15]-NRT-code) | [i] | ||
| 21 | Linear OOA(4148, 4194819, F4, 2, 14) (dual of [(4194819, 2), 8389490, 15]-NRT-code) | [i] | ||
| 22 | Linear OOA(4149, 4195329, F4, 2, 14) (dual of [(4195329, 2), 8390509, 15]-NRT-code) | [i] | ||
| 23 | Linear OOA(4152, 4196352, F4, 2, 14) (dual of [(4196352, 2), 8392552, 15]-NRT-code) | [i] | ||
| 24 | Linear OOA(4153, 4196356, F4, 2, 14) (dual of [(4196356, 2), 8392559, 15]-NRT-code) | [i] | ||
| 25 | Linear OOA(4156, 4197031, F4, 2, 14) (dual of [(4197031, 2), 8393906, 15]-NRT-code) | [i] | ||
| 26 | Linear OOA(4157, 4202496, F4, 2, 14) (dual of [(4202496, 2), 8404835, 15]-NRT-code) | [i] | ||
| 27 | Linear OOA(4140, 4194372, F4, 2, 14) (dual of [(4194372, 2), 8388604, 15]-NRT-code) | [i] | ||
| 28 | Linear OOA(4141, 4194381, F4, 2, 14) (dual of [(4194381, 2), 8388621, 15]-NRT-code) | [i] | ||
| 29 | OOA(4141, 4194389, S4, 2, 14) | [i] | ||
| 30 | Linear OOA(4121, 4194301, F4, 3, 14) (dual of [(4194301, 3), 12582782, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 31 | Digital (107, 121, 4194301)-net over F4 | [i] | ||