SOME $\mathbb{Z}_{n-1}$ TERRACES FROM $\mathbb{Z}_{n}$ POWER-SEQUENCES, $n$ BEING AN ODD PRIME POWER
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چکیده
منابع مشابه
SOME Zn−1 TERRACES FROM Zn POWER-SEQUENCES, n BEING AN ODD PRIME POWER
A terrace for Zm is a particular type of sequence formed from the m elements of Zm. For m odd, many procedures are available for constructing power-sequence terraces for Zm; each terrace of this sort may be partitioned into segments, of which one contains merely the zero element of Zm, whereas every other segment is either a sequence of successive powers of an element of Zm or such a sequence m...
متن کاملDifferential spectrum of some power functions in odd prime characteristic
Article history: Received 28 June 2012 Revised 2 December 2012 Accepted 10 January 2013 Available online 31 January 2013 Communicated by Gary McGuire
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Metacirculants are a basic and well-studied family of vertex-transitive graphs, and weak metacirculants are generalizations of them. A graph is called a weak metacirculant if it has a vertex-transitive metacyclic automorphism group. This paper is devoted to the study of weak metacirculants with odd prime power order. We first prove that a weak metacirculant of odd prime power order is a metacir...
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For each odd prime power q, let 4 ≤ n ≤ q2 + 1. Hermitian self-orthogonal [n, 2, n − 1] codes over GF (q2) with dual distance three are constructed by using finite field theory. Hence, [[n,n − 4, 3]]q quantum MDS codes for 4 ≤ n ≤ q2 + 1 are obtained.
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The theory of quantum error-correcting codes (QECCs, for short) has been exhaustively studied in the literature; see [1–8]. The most widely studied class of quantum codes are binary quantum stabilizer codes. A thorough discussion on the principles of quantum coding theory was given in [3] and [4] for binary quantum stabilizer codes. An appealing aspect of binary quantum codes is that there exis...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2007
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091504000045