메뉴 건너뛰기




Volumn 76, Issue 3, 2015, Pages 519-535

Codes over rings and Hermitian lattices

Author keywords

Finite rings; Lattices; Linear codes; Quadratic number fields; Self dual codes

Indexed keywords

CRYSTAL LATTICES;

EID: 84938745175     PISSN: 09251022     EISSN: 15737586     Source Type: Journal    
DOI: 10.1007/s10623-014-9974-0     Document Type: Article
Times cited : (5)

References (12)
  • 1
    • 0031123901 scopus 로고    scopus 로고
    • Applications of coding theory to the construction of modular lattices
    • Bachoc C.: Applications of coding theory to the construction of modular lattices. J. Comb. Theory A 78, 92–119 (1997).
    • (1997) J. Comb. Theory A , vol.78 , pp. 92-119
    • Bachoc, C.1
  • 2
    • 14644434995 scopus 로고    scopus 로고
    • Codes over GF(4) and $F_2\times F_2$F2×F2 and hermitian lattices over imaginary quadratic fields
    • Chua K.S.: Codes over GF(4) and $$F_2\times F_2$$F2×F2 and hermitian lattices over imaginary quadratic fields. Proc. Am. Math. Soc. 133(3), 661–670 (2004).
    • (2004) Proc. Am. Math. Soc , vol.133 , Issue.3 , pp. 661-670
    • Chua, K.S.1
  • 4
    • 0038387260 scopus 로고    scopus 로고
    • Type II self-dual codes over finite rings and even unimodular lattices
    • Dougherty S.T., Gulliver T.A., Harada M.: Type II self-dual codes over finite rings and even unimodular lattices. J. Algebr. Comb. 9(3), 233–250 (1999).
    • (1999) J. Algebr. Comb , vol.9 , Issue.3 , pp. 233-250
    • Dougherty, S.T.1    Gulliver, T.A.2    Harada, M.3
  • 6
    • 84856265988 scopus 로고    scopus 로고
    • Constructions of self-dual codes over finite commutative chain rings
    • Dougherty S.T., Kim J.-L., Liu H.: Constructions of self-dual codes over finite commutative chain rings. Int. J. Inf. Coding Theory 1(2), 171–190 (2010).
    • (2010) Int. J. Inf. Coding Theory , vol.1 , Issue.2 , pp. 171-190
    • Dougherty, S.T.1    Kim, J.-L.2    Liu, H.3
  • 7
    • 76849117691 scopus 로고    scopus 로고
    • Codes over $$F_{p^2}$$Fp2 and $$F_p \times F_p$$Fp×Fp, lattices, and theta functions
    • Shaska T., Shor C.: Codes over $$F_{p^2}$$Fp2 and $$F_p \times F_p$$Fp×Fp, lattices, and theta functions. Adv. Coding Theory Cryptogr. 3, 70–80 (2007).
    • (2007) Adv. Coding Theory Cryptogr , vol.3 , pp. 70-80
    • Shaska, T.1    Shor, C.2
  • 8
    • 76849083207 scopus 로고    scopus 로고
    • Codes over rings of size four, hermitian lattices and corresponding theta functions
    • Shaska T., Wijesiri S.: Codes over rings of size four, hermitian lattices and corresponding theta functions. Proc. Am. Math. Soc. 136(3), 849–857 (2008).
    • (2008) Proc. Am. Math. Soc , vol.136 , Issue.3 , pp. 849-857
    • Shaska, T.1    Wijesiri, S.2
  • 9
    • 76849115190 scopus 로고    scopus 로고
    • Codes over rings of size $$p^2$$p2 and lattices over imaginary quadratic fields
    • Shaska T., Shor C., Wijesiri S.: Codes over rings of size $$p^2$$p2 and lattices over imaginary quadratic fields. Finite Fields Appl. 16(2), 75–87 (2010).
    • (2010) Finite Fields Appl , vol.16 , Issue.2 , pp. 75-87
    • Shaska, T.1    Shor, C.2    Wijesiri, S.3
  • 10
    • 57149123746 scopus 로고    scopus 로고
    • Inverse pseudorandom numbers over Galois rings
    • Solé P., Zinoviev D.: Inverse pseudorandom numbers over Galois rings. Eur. J. Comb. 30, 458–467 (2009).
    • (2009) Eur. J. Comb , vol.30 , pp. 458-467
    • Solé, P.1    Zinoviev, D.2
  • 12
    • 0033148071 scopus 로고    scopus 로고
    • Duality for modules over finite rings and applications to coding theory
    • Wood J.: Duality for modules over finite rings and applications to coding theory. Am. J. Math. 121, 555–575 (1999).
    • (1999) Am. J. Math , vol.121 , pp. 555-575
    • Wood, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.