J. Carmelo Interlando's Publications

Journal Publications and Chapters of Books:

  1. On the relationship between the diophantine equations over the ring of algebraic integers and the mapping by set partitioning, in Coded Modulation and Bandwidth Efficient Transmission, E. Biglieri and M. Luise (Editors), 1992, Elsevier Science Publishing Co., pp. 79-90. (R. Palazzo, Jr.).
  2. A note on cyclic codes over Zm, Latin American Applied Research, vol. 25/S, pp. 83-85, 1995. (R. Palazzo, Jr.).
  3. Group block codes over non-abelian groups are asymptotically bad, IEEE Transactions on Information Theory, vol. 42, No. 4, pp. 1277-1280, July 1996. (R. Palazzo, Jr. and M. Elia).
  4. On the decoding of Reed-Solomon codes over integer rings, in Communications, Coding, and Signal Processing, B. Honary, M. Darnell e P. Farrel (Editors), Research Studies Press, Ltd., Taunton, Somerset, England, John Wiley & Sons Inc., 1997, pp. 89-105 (R. Palazzo, Jr. and M. Elia).
  5. The symmetry group of Zqn in the Lee space and the Zqn-linear codes, in Applied Algebra, Algebraic Algorithms and Error Correcting Codes, T. Mora e H. Mattson (Editors), Lecture Notes in Computer Science, No. 1255, Springer Verlag, 1997, pp. 66-77 (J. R. Gerônimo, S. R. Costa, R. Palazzo, Jr. and M. M. S. Alves).
  6. On the decoding of Reed-Solomon and BCH codes over integer residue rings, IEEE Transactions on Information Theory, vol. 43, No. 3, pp. 1213-1221, May 1997. (R. Palazzo, Jr. and M. Elia).
  7. Codes over rings of algebraic integers, Revista da Sociedade Brasileira de Telecomunicações, vol. 13, No. 1, pp. 1-20, June 1998. (O. M. Favareto, T. P. da Nóbrega Neto, and R. Palazzo, Jr.).
  8. New quaternary codes obtained from a combinatorial optimization algorithm, Acta Sci., Univ. Estadual de Maringá, vol. 21, No.4, pp. 881-889, 1999. (J. R. Gerônimo and R. Palazzo Jr.).
  9. Computing the reciprocal of units in finite Galois rings, Journal of Discrete Mathematical Sciences and Cryptography, vol. 3/4, 2000. (M. Elia and R. Palazzo, Jr.).
  10. On the optimality of finite constellations from algebraic lattices, Electronic Notes in Discrete Mathematics, vol. 6, April 2001. (M. Elia and T. P. da Nóbrega Neto).
  11. Lattice constellations and codes from quadratic number fields, IEEE Transactions on Information Theory, vol. 47, pp. 1514-1527, May 2001. (T. P. da Nóbrega Neto, O. M. Favareto, M. Elia, and R. Palazzo, Jr.).
  12. Relating propelinear and binary G-linear codes, Discrete Mathematics, vol. 243/1-3, pp. 187-194, December 2001. (M. M. S. Alves, J. R. Gerônimo, R. Palazzo, Jr., and S. R. Costa).
  13. On computing discriminants of subfields of Q(ζpr), J. of Number Theory, 96, 319-325 (2002). (T. P. da Nóbrega Neto and J. O. D. Lopes).
  14. Fibonacci ideal lattices in Z[ζ12], The Fibonacci Quarterly, vol. 41, June-July 2003, N.3, pp.279-288. (M. Elia).
  15. On the Effective Computation of Isomorphisms Between σ(OF/p) and GF(N(p)), Journal of Discrete Mathematical Sciences and Cryptography, vol. 7, No. 2, August 2004. (M. Elia).
  16. The discriminant of Abelian number fields, Journal of Algebra and its Applications, vol. 5, No. 1, pp. 35-41, February 2006. (T. P. da Nóbrega Neto and J. O. D. Lopes).
  17. Quadratic-residue codes and cyclotomic fields, Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications, Springer Netherlands (on line), 2006. (M. Elia).
  18. A family of asymptotically good lattices having a lattice in each dimension, International Journal of Number Theory, 4(1): 147-154, 2008. (A. L. Flores and T. P. da Nóbrega Neto).
  19. Finiteness of the class group of a number field via lattice packings, JP Journal of Algebra, Number Theory and Applications, 13(1): 1-5, 2009. (T. P. da Nóbrega Neto and J. V. L. Nunes).
  20. On the computation of the norm-Euclidean minimum of algebraic number fields, International Journal of Algebra, 3(7): 341-354, 2009. (M. Elia).
  21. Decoding the ternary (23, 11, 9) quadratic residue code, Research Letters in Communications, 2009.
  22. Optimal families of two and three-dimensional lattice packings from polynomials with integer coefficients, JP Journal of Algebra, Number Theory and Applications, 15(1): 45-51, 2009. (J. V. L. Nunes, T. P. da Nóbrega Neto, and A. L. Flores).
  23. On the structure of residue rings of prime ideals in algebraic number fields - part I: unramified primes, International Mathematical Forum, 5(56): 2795-2808, 2010. (M. Elia and R. Rosenbaum).
  24. On the minimum absolute value of the discriminant of Abelian fields of degree p2, Journal of Algebra and its Applications, 9(5): 819-824, 2010. (J. O. D. Lopes, T. P. da Nóbrega Neto, and A. L. Flores).
  25. On the structure of residue rings of prime ideals in algebraic number fields - part II: ramified Primes, International Mathematical Forum, 6(12): 565-589, 2011. (M. Elia and R. Rosenbaum).
  26. On a refinement of Craig's lattices, Journal of Pure and Applied Algebra, 215: 1440-1442, 2011. (A. L. Flores, T. P. da Nóbrega Neto, and J. O. D. Lopes).
  27. An extension of Craig's family of lattices, Canadian Mathematical Bulletin, 54: 645-653, 2011. (A. L. Flores and T. P. da Nóbrega Neto).
  28. Decoding the (41, 20, 10) quadratic residue code beyond its error-correcting capability, Applied Mathematical Sciences, 5(46): 2261-2269, 2011. (Cynthia Padilla).
  29. Algebraic decoding of the ternary (37, 18, 11) quadratic residue code, International Journal of Information and Coding Theory, 2(1): 59-65, 2011.
  30. A new number field construction of the lattice E8, accepted for publication in Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry, 2012. (T. P. da Nóbrega Neto, A. L. Flores, and A. L. Contiero).
  31. Two matrix-based lattice construction techniques, accepted for publication in Linear Algebra and its Applications, 2012. (T. P. da Nóbrega Neto, A. L. Flores, and J. O. D. Lopes).

Conference Papers:

  1. Using the Finite Element Method to Approximate Solutions of Partial Differential Equations (in Portuguese), Annals of the XII National Conference on Applied and Computational Mathematics (XII CNMAC), São José do Rio Preto, Brazil, Sep. 04-08, 1989, pp. 485-488 (J. F. C. A. Meyer and C. E. Mariolani).
  2. Using the Finite Element Method to Approximate Solutions of Partial Differential Equations (in Portuguese), Annals of the II National Conference of Young Researchers in Mathematics, Rio de Janeiro, Brazil, July 4-7, 1989, pp. 123-126. (J. F. C. A. Meyer and C. E. Mariolani).
  3. Introduction to the numerical analysis of the Navier-Stokes equation (in Portuguese), Annals of the I Regional Meeting on Applied and Computational Mathematics (I ERMAC-RJ/ES), Niterói, Brazil, May 1990. (J. F. C. A. Meyer and C. E. Mariolani).
  4. Numerical analysis of the Navier-Stokes equation via finite elements (in Portuguese), Annals of the 13th National Conference on Applied and Computational Mathematics (XIII CNMAC), Águas de Lindóia, Brazil, November 1990, p. 151. (J. F. C. A. Meyer and M. A. G. Ferreira).
  5. Construction of signal sets matched to abelian and nonabelian groups, Proceedings of the IEEE International Symposium on Information Theory, Trondheim, Norway, 1994 (ISIT '94), p. 488. (R. Palazzo, Jr. and C. de Almeida).
  6. Modified Berlekamp-Massey algorithm for decoding BCH codes defined over rings, Proceedings of the IEEE International Symposium on Information Theory, Trondheim, Norway, 1994 (ISIT '94), p. 94. (R. Palazzo, Jr.).
  7. On the decoding of Reed-Solomon codes over integer rings, Proceedings of the 3rd International Symposium on Communication Theory & Applications, Ambleside, UK, 1995, p. 21-28. (R. Palazzo, Jr. and M. Elia).
  8. Multisequence generation and decoding of cyclic codes over Zq, Proceedings of the IEEE International Symposium on Information Theory, Whistler, Canada, 1995 (ISIT '95), p. 277. (R. Palazzo, Jr.).
  9. Lattice constellations matched to GF(p), Proceedings of the IEEE International Symposium on Information Theory, Ulm, Germany, 1997 (ISIT '97), p. 391. (O. M. Favareto, T. P. da Nóbrega Neto and R. Palazzo, Jr.).
  10. Computing the reciprocal of units in finite Galois rings, Proceedings of the International Conference on Discrete Mathematics and Allied Topics, Delhi, India, 1997, p. 21. (M. Elia and R. Palazzo, Jr.).
  11. On alternant codes over commutative rings, Proceedings of the International Symposium on Information Theory and its Applications, Mexico City, 1998} (ISITA '98), pp. 192-195. (A. A. de Andrade and R. Palazzo, Jr.).
  12. On the equivalence between propelinear and binary G-linear codes, Proceedings of the International Symposium on Information Theory and its Applications, Mexico City, 1998, (ISITA '98), pp. 190-191. (M. M. S. Alves, J. R. Gerônimo, S. R. Costa, and R. Palazzo, Jr.).
  13. On the linear labeling of lattice constellations from algebraic number fields, Proceedings of Combinatorics 2000, Gaeta, Italy, May 28 - June 3, 2000, p. 181. (M. Elia).
  14. On the optimality of finite constellations from algebraic lattices, Proceedings of the International Workshop on Coding and Cryptography, Paris, France, January 8-12, 2001, pp. 289-298. (M. Elia).
  15. A new construction technique for lattices from subfields of Q(ζpq), Abstracts for Joint Mathematics Meetings, San Diego, CA, January 6-9, 2002, p. 57. (T. P. da Nóbrega Neto and A. L. Flores).
  16. Four and six-dimensional signal constellations from algebraic lattices, Proceedings of the Fifteenth International Symposium on Mathematical Theory of Networks and Systems, Notre Dame, Indiana (MTNS '02), August 12-16, 2002, pp.53. (M. Elia).
  17. Decoding quadratic residue codes via their embedding in cyclic codes over cyclotomic fields, Proceedings of the International Conference on Statistics, Combinatorics, and Related Areas, Portland, Maine, October 3-5, 2003, pp. 50-51. (M. Elia).
  18. The gate complexity of syndrome decoding of Hamming codes, Proceedings of the Tenth International Conference on Applications of Computer Algebra,, Beaumont, Texas, July 21-23, 2004, pp. 33-37. (E. Byrne and J. Rosenthal).