Name
Abstract | ||
|---|---|---|
Families of binary low-correlation sequences with high nonlinearity (in relation with their Walsh Hadamard transform) are constructed by using the most significant bit of linear recurrence sequences over the ring Zopf2 l, for lges3. The engineering motivation is the design of a multiple-code code-division multiple-access (CDMA) scheme with a control of low peak-to-average power ratio (PAPR). Proof techniques combine Galois ring theory (local Weil bound) with spectral analysis over the additive group of Zopf2 l. New estimates on the size of weighted degree trace codes are derived. The parameters of the sequences families constructed are shown to lie above a modified Varshamov-Gilbert bound |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1109/TIT.2006.883629 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
sequences family,engineering motivation,linear recurrence sequence,ring zopf2 l,walsh hadamard,binary low-correlation sequence,additive group,galois ring theory,multiple-code cdma,high-nonlinearity sequences,zopf2 l,high nonlinearity,code division multiple access,encoding,galois fields,correlation,binary sequence,nonlinearity | Most significant bit,Discrete mathematics,Finite field,Combinatorics,Nonlinear system,Pseudorandom binary sequence,Code division multiple access,Hadamard transform,Mathematics,Additive group,Binary number | Journal |
Volume | Issue | ISSN |
52 | 11 | 0018-9448 |
Citations | PageRank | References |
3 | 0.45 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Patrick Solé | 1 | 10 | 1.66 |
| D. Zinoviev | 2 | 17 | 3.92 |