Guillén i Fábregas, A. (Albert)Land, IngmarMartínez, Alfonso, 1973-2018-12-072018-12-072013Guillén A, Land I, Martinez A. Extremes of error exponents. IEEE Trans Inf Theory. 2013;59(4):2201-7. DOI: 10.1109/TIT.2012.22332710018-9448http://hdl.handle.net/10230/36018This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity C and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for other quantities related to Gallager's E 0 function, such as the cutoff rate, the Bhattacharyya parameter, and the channel dispersion.application/pdfeng© 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The final published article can be found at http://dx.doi.org/10.1109/TIT.2012.2233271Extremes of error exponentsinfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1109/TIT.2012.2233271Bhattacharyya parameterChannel capacityChannel dispersionCutoff rateDiscrete memoryless channelsError exponentsError probabilityRandom codingSymmetric channelsinfo:eu-repo/semantics/openAccess