@article {Dong:January 1999:1071-5797:57, author = "Dong X-D.", author = "Soh C.B.", author = "Moreno E.O.", title = "Linear Block Codes for Four-Dimensional Signals", journal = "Finite Fields and Their Applications", volume = "5", year = "January 1999", abstract = "
In this paper, linear block codes over finite fields of the algebraic integer ring of the cyclotomic field Q(e2
i/n) modulo irreducible elements are presented, where n=5, 8, or 12. These codes can be used for coding over four-dimensional signal space and can correct one error which takes from the group of all roots of unity in the algebraic integer ring of Q(e2
i/n), where n=5, 8, or 12. Copyright 1999 Academic Press.