Browsing by Author "Shore C"

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    Codes over rings of size p2 and lattices over imaginary quadratic fields
    (Finite Fields Appl., 2010) Shaska T; Shore C; Wijesiri G S
    Let ?>0 be a square-free integer congruent to 3 mod 4 and OK the ring of integers of the imaginary quadratic field View the MathML source. Codes C over rings OK/pOK determine lattices ??(C) over K . If p?? then the ring R:=OK/pOK is isomorphic to Fp2 or Fp?Fp. Given a code C over R, theta functions on the corresponding lattices are defined. These theta series ???(C)(q) can be written in terms of the complete weight enumerators of C . We show that for any two ?