메뉴 건너뛰기




Volumn 50, Issue 2, 2004, Pages 367-380

Consta-Abelian Codes Over Galois Rings

Author keywords

Abelian codes; Consta Abelian codes; Constacyclic codes; Galois rings; Quasi twisted (QT) codes; Twisted discrete Fourier transform

Indexed keywords

ALGORITHMS; DECODING; DISCRETE FOURIER TRANSFORMS; POLYNOMIALS; SET THEORY; THEOREM PROVING; VECTORS;

EID: 1442313222     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2003.822619     Document Type: Article
Times cited : (7)

References (24)
  • 1
    • 0002052725 scopus 로고
    • Structural properties and enumeration of quasi cyclic codes
    • J. Conan and G. Seguin, "Structural properties and enumeration of quasi cyclic codes," Applicable Alg. Eng., Commun. Computing, vol. 4, pp. 25-39, 1993.
    • (1993) Applicable Alg. Eng., Commun. Computing , vol.4 , pp. 25-39
    • Conan, J.1    Seguin, G.2
  • 4
    • 0032675409 scopus 로고    scopus 로고
    • Minimal tail-biting trellises: The Golay code and more
    • July
    • A. R. Calderbank, G. D. Forney, and A. Vardy, "Minimal tail-biting trellises: The Golay code and more," IEEE Trans. Inform. Theory, vol. 45, pp. 1435-1455, July 1999.
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 1435-1455
    • Calderbank, A.R.1    Forney, G.D.2    Vardy, A.3
  • 5
    • 0025460608 scopus 로고
    • Pseudo-cyclic maximum-distance-separable codes
    • July
    • A. Krishna and D. V. Sarwate, "Pseudo-cyclic maximum-distance-separable codes," IEEE Trans. Inform. Theory, vol. 36, pp. 880-884, July 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 880-884
    • Krishna, A.1    Sarwate, D.V.2
  • 6
    • 0026123566 scopus 로고
    • Classification of pseudo-cyclic MDS codes
    • Mar.
    • J. P. Pedersen and C. Dahl, "Classification of pseudo-cyclic MDS codes," IEEE Trans. Inform. Theory, vol. 37, pp. 365-370, Mar. 1991.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 365-370
    • Pedersen, J.P.1    Dahl, C.2
  • 7
    • 0028429028 scopus 로고
    • A class of constacyclic codes
    • May
    • J. M. Jensen, "A class of constacyclic codes," IEEE Trans. Inform. Theory, vol. 40, pp. 951-954, May 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 951-954
    • Jensen, J.M.1
  • 8
    • 0033879222 scopus 로고    scopus 로고
    • Constacyclic codes, cocycles and a u + vu - v construction
    • Mar.
    • G. Hughes, "Constacyclic codes, cocycles and a u + vu - v construction," IEEE Trans. Inform. Theory, vol. 46, pp. 674-680, Mar. 2000.
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 674-680
    • Hughes, G.1
  • 9
    • 1442358432 scopus 로고    scopus 로고
    • New 1-generator quasitwisted codes over GF(5)
    • A. Barg and S. Litsyn, Eds. Providence, RI: AMS/DIMACS
    • I. Siap, N. Aydin, and D. K. Ray-Chaudhuri, "New 1-generator quasitwisted codes over GF(5)," in Codes and Association Schemes, A. Barg and S. Litsyn, Eds. Providence, RI: AMS/DIMACS, 2001, vol. 56, pp. 265-275.
    • (2001) Codes and Association Schemes , vol.56 , pp. 265-275
    • Siap, I.1    Aydin, N.2    Ray-Chaudhuri, D.K.3
  • 10
    • 0035546546 scopus 로고    scopus 로고
    • The structure of 1-generator QT codes and new linear codes
    • Dec.
    • _, "The structure of 1-generator QT codes and new linear codes," Des., Codes Cryptogr., vol. 23, no. 3, pp. 313-326, Dec. 2001.
    • (2001) Des., Codes Cryptogr. , vol.23 , Issue.3 , pp. 313-326
  • 11
    • 0034316390 scopus 로고    scopus 로고
    • New quasi-twisted quaternary linear codes
    • Nov.
    • R. N. Daskalov and T. A. Gulliver, "New quasi-twisted quaternary linear codes," IEEE Trans. Inform. Theory, vol. 46, pp. 2642-2643, Nov. 2000.
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 2642-2643
    • Daskalov, R.N.1    Gulliver, T.A.2
  • 13
    • 0034316124 scopus 로고    scopus 로고
    • A transform approach to permutation groups of cyclic codes over Galois rings
    • Nov.
    • J. T. Blackford and D. K. Ray-Chaudhuri, "A transform approach to permutation groups of cyclic codes over Galois rings," IEEE Trans. Inform. Theory, vol. 46, pp. 2350-2358, Nov. 2000.
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 2350-2358
    • Blackford, J.T.1    Ray-Chaudhuri, D.K.2
  • 14
    • 0043282840 scopus 로고    scopus 로고
    • Abelian codes over Galois rings closed under certain permutations
    • Sept.
    • Kiran. T and B. S. Rajan, "Abelian codes over Galois rings closed under certain permutations," IEEE Trans. Inform. Theory, vol. 49, pp. 2242-2253, Sept. 2003.
    • (2003) IEEE Trans. Inform. Theory , vol.49 , pp. 2242-2253
    • Kiran, T.1    Rajan, B.S.2
  • 15
    • 0013269409 scopus 로고    scopus 로고
    • Gröbner bases over Galois rings with an application to decoding
    • E. Byrne and P. Fitzpatrick, "Gröbner bases over Galois rings with an application to decoding," J. Symb. Comp., vol. 31, pp. 565-584, 2001.
    • (2001) J. Symb. Comp. , vol.31 , pp. 565-584
    • Byrne, E.1    Fitzpatrick, P.2
  • 16
    • 0036495441 scopus 로고    scopus 로고
    • Hamming metric decoding of alternant codes over Galois rings
    • Mar.
    • _, "Hamming metric decoding of alternant codes over Galois rings," IEEE Trans. Inform. Theory, vol. 48, pp. 683-694, Mar. 2002.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 683-694
  • 18
    • 0035452549 scopus 로고    scopus 로고
    • Structure theorems for group ring codes with an application to self-dual codes
    • Sept.
    • G. Hughes, "Structure theorems for group ring codes with an application to self-dual codes," Des., Codes Cryptogr., vol. 24, pp. 5-14, Sept. 2001.
    • (2001) Des., Codes Cryptogr. , vol.24 , pp. 5-14
    • Hughes, G.1
  • 20
    • 0026954769 scopus 로고
    • Transform domain characterization of Abelian codes
    • Nov.
    • _, "Transform domain characterization of Abelian codes," IEEE Trans. Inform. Theory, vol. 38, pp. 1817-1821, Nov. 1992.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 1817-1821
  • 21
    • 0024035528 scopus 로고
    • A transform theory for a class of group-invariant codes
    • July
    • R. M. Tanner, "A transform theory for a class of group-invariant codes," IEEE Trans. Inform. Theory, vol. 34, pp. 752-775, July 1988.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , pp. 752-775
    • Tanner, R.M.1
  • 23
    • 1442285005 scopus 로고    scopus 로고
    • Constacyclic codes and constacyclic DFTs
    • Cambridge, MA, June
    • S. Boztas, "Constacyclic codes and constacyclic DFTs," in Proc. IEEE Int. Symp. Information Theory, Cambridge, MA, June 1998, p. 235.
    • (1998) Proc. IEEE Int. Symp. Information Theory , pp. 235
    • Boztas, S.1
  • 24
    • 0032027779 scopus 로고    scopus 로고
    • Decompositions and extremal type II codes over Zt
    • Mar.
    • W. C. Huffman, "Decompositions and extremal type II codes over Zt," IEEE Trans. Inform. Theory, vol. 44, pp. 800-809, Mar. 1998.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 800-809
    • Huffman, W.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.