By Hans Dobbertin (auth.), T. Helleseth, P. V. Kumar, K. Yang (eds.)
ISBN-10: 1447106733
ISBN-13: 9781447106739
ISBN-10: 1852335297
ISBN-13: 9781852335298
Pseudorandom sequences have common purposes, for example, in unfold spectrum, code department a number of entry, optical and ultrawide band communique structures, in addition to in ranging structures worldwide positioning platforms, circuit checking out and move ciphers. Such sequences even have robust ties to error-correcting codes.
This quantity includes survey and examine papers on sequences and their functions. It brings jointly prime specialists from discrete arithmetic, machine technological know-how and communications engineering, and is helping to bridge advances in those diversified parts. Papers during this quantity speak about the idea of sequences and their purposes in cryptography, coding conception, communications structures, numerical computation and computing device simulation.
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Additional resources for Sequences and their Applications: Proceedings of SETA ’01
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5. W. 221-246. 6. J. Dillon and H. Dobbertin, New difference sets with Singer parameters, Finite Fields and their Applications, submitted. 7. H. Dobbertin, Almost perfect nonlinear power functions on GF(2"): The Welch case, IEEE Transactions on Information Theory 45 (1999), pp. 1271-1275. 8. H. Dobbertin, Almost perfect nonlinear power functions on GF(2"): The Niho case, Information and Computation 151 (1999), pp. 57-72. 9. H. S.!. Workshop "Difference sets, ~ quences and their correlation properties", Bad Windsheim, August 3-14, 1998, Kluwer Verlag, to appear.
1) (2) (3) (4) (5) (6) d = 21; + 1, mfgcd(m, k) odd. d = 22 1; - 21; + 1, mfgcd(m,k) odd. - + 1, m == 2 (mod 4). d = 2~ + 3, m == 2 (mod 4). m-l d = 2-2- + 3, m odd. 2~ + 2¥ - 1 if m == 1 (mod 4) d= { 2~ ~ +2~-1 .. if m == 3 (mod 4). Case (1) is the oldest result due to Gold [8] in 1968. Case (2) is proved by Kasami but he mentions that this result has also been proved by Welch. The On the Correlation of m-Sequences and Related Sequences 37 cases (3) and (4) were proved by Cusick and Dobbertin [2].
Therefore this set has all the properties that we need to build practical OFDM systems: a structure which can be exploited for encoding, a certain minimum distance (of at least 2m - 2 determined by the minimum distance of RM(2, m)) and a relationship to well-understood error-correcting codes which can be used to build efficient decoders. For full details of the variety of coding options trading-off rate, minimum distance and PAPR that can be developed from this result, see [11]. For details on the important issue of efficient decoding, see [11,18,37].
Sequences and their Applications: Proceedings of SETA ’01 by Hans Dobbertin (auth.), T. Helleseth, P. V. Kumar, K. Yang (eds.)
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