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Related papers: Codes over Quaternion Integers with Respect to Lip…

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This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

General Topology · Mathematics 2011-05-02 Huseyin Cakalli

This paper has been withdrawn.

Analysis of PDEs · Mathematics 2015-02-12 David R. Adams , J. Xiao

%auto-ignore Paper has been withdrawn by the author.

Strongly Correlated Electrons · Physics 2007-05-23 Yupeng Wang

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

Quantum Physics · Physics 2007-05-23 Minh-Dung Dang

This article has been withdrawn.

Data Structures and Algorithms · Computer Science 2015-03-18 Golnaz Ghasemiesfeh , Hanieh Mirzaei , Yahya Tabesh

This paper has been withdrawn by the authors

Optics · Physics 2007-05-23 Heping Zeng , Jian Wu , Kun Wu , Han Xu

The paper has been withdrawn by the author.

Symplectic Geometry · Mathematics 2012-06-19 Leonid Polterovich

This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.

Mathematical Physics · Physics 2007-05-23 Steven Lord

This paper has been withdrawn

Statistical Mechanics · Physics 2012-01-20 A. Naji , S. Rouhani , A. R. Rastegar

This paper has been withdrawn at the author's request.

Statistics Theory · Mathematics 2008-02-19 Narges Abbasi

In this paper, cyclic codes are established over some finite quaternion integer rings with respect to the quaternion Mannheim distance, and de- coding algorithm for these codes is given.

Information Theory · Computer Science 2010-03-24 Murat Guzeltepe , Mehmet Ozen

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

Differential Geometry · Mathematics 2008-06-10 Jon Wolfson

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

Algebraic Geometry · Mathematics 2007-05-23 Jie Xiao , Fan Xu , Guanglian Zhang

This paper is withdrawn.

Differential Geometry · Mathematics 2009-09-07 Michael T. Anderson

This paper has been withdrawn. It will be split into two separate papers. New results will be added in both papers.

Mathematical Physics · Physics 2010-05-19 J. -R. Chazottes , J. -M. Gambaudo , E. Ugalde

This paper has been withdrawn by the authors.

Condensed Matter · Physics 2007-05-23 Brahim Elattari , Rochus Klesse

this paper has been withdrawn. A crucial estimate on a Lipschitz variant of the Kakeya maximal function has an incomplete proof.

Classical Analysis and ODEs · Mathematics 2007-05-23 Michael T Lacey , Xiaochun Li

This paper has been withdrawn.

Other Computer Science · Computer Science 2007-05-23 Hooman Nikmehr , Braden Phillips , Cheng-Chew Lim

The author has withdrawn this submission.

General Physics · Physics 2009-04-27 Evangelos Chaliasos

This paper has been withdrawn

High Energy Physics - Phenomenology · Physics 2009-03-26 J. P. Ma