Scarlett, JonathanMartínez, Alfonso, 1973-Guillén i Fábregas, A. (Albert)2018-12-052018-12-052015Scarlett J, Martinez A, Guillén A. Second-order rate region of constant-composition codes for the multiple-access channel. IEEE Trans Inf Theory. 2015;61(1):157-72. DOI: 10.1109/TIT.2014.23710260018-9448http://hdl.handle.net/10230/36002This paper studies the second-order asymptotics of coding rates for the discrete memoryless multiple-access channel (MAC) with a fixed target error probability. Using constant-composition random coding, coded time-sharing, and a variant of Hoeffding's combinatorial central limit theorem, an inner bound on the set of locally achievable second-order coding rates is given for each point on the boundary of the capacity region. It is shown that the inner bound for constant-composition random coding includes that recovered by independent identically distributed random coding, and that the inclusion may be strict. The inner bound is extended to the Gaussian MAC via an increasingly fine quantization of the inputs.application/pdfeng© 2015 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.2014.2371026info:eu-repo/semantics/articlehttp://dx.doi.org/10.1109/TIT.2014.2371026VectorsEncodingDispersionCovariance matricesJointsError probabilityLinear matrix inequalitiesinfo:eu-repo/semantics/openAccess