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DC Field | Value | Language |
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dc.contributor.author | Shaska T | en_US |
dc.contributor.author | Shore C | en_US |
dc.contributor.author | Wijesiri G S | en_US |
dc.date.accessioned | 2014-11-19T04:48:09Z | - |
dc.date.available | 2014-11-19T04:48:09Z | - |
dc.date.issued | 2010 | - |
dc.identifier.uri | http://repository.kln.ac.lk/handle/123456789/4188 | - |
dc.description.abstract | 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 ?<?? the first View the MathML source terms of their corresponding theta functions are the same. Moreover, we conjecture that for View the MathML source there is a unique symmetric weight enumerator corresponding to a given theta function. We verify the conjecture for primes p<7, ??59, and small n. | en_US |
dc.publisher | Finite Fields Appl. | en_US |
dc.title | Codes over rings of size p2 and lattices over imaginary quadratic fields | - |
dc.type | article | en_US |
dc.identifier.department | Physics | en_US |
Appears in Collections: | Physics |
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