Abstract
In this work we investigate bounds on throughput and delay performance of a scheduling protocol that derives its decisions from codes traditionally used to correct or detect errors in the information carried over a noisy channel. In this paper we study the particular cases in which the Reed-Solomon and Hermitian code constructions are used. It is found that Hermitian codes outperform Reed-Solomon codes in minimum throughput guarantee and delay metrics when the number of nodes is in the order of thousands. The relative minimum distance of the code used to schedule the transmissions is identified as an important property that can be used to identify codes that can enable scheduling patterns with better minimum performance guarantees. Furthermore, the terminology of error control coding is used to present a more general and constructive framework for the study of code-based scheduling protocols.
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References
Chlamtac, I., Farago, A.: Making transmission schedules immune to topology changes in multi-hop packet radio networks. IEEE/ACM Trans. Networking 2(1), 23–29 (1994)
Ju, J.-H., Li, V.O.K.: An optimal topology-transparent scheduling method in multi-hop packet radio networks. IEEE/ACM Trans. Networking 6(3), 298–306 (1998)
MacWilliams, F.J., Sloane, N.J.A.: The theory of error-correcting codes. North Holland Pub., Amsterdam (1977) ISBN: 0444850090
Einarsson, G.: Address assignment for a time-frequency-coded, spread-spectrum system. The Bell Systems Tech. Journal 59(7), 1241–1255 (1980)
Solomon, G.: Optimal frequency hopping sequences for multiple-access. In: Proceedings of the Symposium of Spread Spectrum Communications, vol. 1(AD-915 852), pp. 33–35 (1973)
Syrotiuk, V.R., Colbourn, C.J., Ling, A.C.H.: Topology-transparent scheduling for MANETs using orthogonal arrays. In: International Conference on Mobile Computing and Networking, San Diego, CA, pp. 43–49 (2003)
Hedayat, A.S., Sloane, N.J.A., Stufken, J.: Orthogonal Arrays: Theory and Applications, 1st edn. Springer, Heidelberg (1999) ISBN: 0387987665
Rentel, C.H., Kunz, T.: On the average throughput performance of code-based scheduling protocols for Wireless Ad Hoc networks. In: ACM MobiHoc poster, Urbana-Champaign, Il (2005)
Wicker, S.B.: Error Control Systems for Digital Communication and Storage. Prentice Hall, Englewood Cliffs (1995) ISBN: 0132008092
Pretzel, O.: Codes and algebraic curves. Oxford science publications (1998) ISBN: 0198500394
Blake, I., Heegard, C., Hoholdt, T., Wei, V.: Algebraic-Geometry Codes. IEEE Transactions on Information Theory 44(6), 2596–2618 (1998)
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Rentel, C.H., Kunz, T. (2005). Reed-Solomon and Hermitian Code-Based Scheduling Protocols for Wireless Ad Hoc Networks. In: Syrotiuk, V.R., Chávez, E. (eds) Ad-Hoc, Mobile, and Wireless Networks. ADHOC-NOW 2005. Lecture Notes in Computer Science, vol 3738. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11561354_19
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DOI: https://doi.org/10.1007/11561354_19
Publisher Name: Springer, Berlin, Heidelberg
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