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An exponential number of generalized Kerdock codes
- Inform. Control
, 1982
"... If n- 1 is an odd composite integer then there are at least 2 tl/2)~f ~ pairwise inequivalent binary error-correcting codes of length 2 n, size 22n, and minimum distance 2 n 1-2(1/2)n 1. 1. ..."
Abstract
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Cited by 10 (6 self)
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If n- 1 is an odd composite integer then there are at least 2 tl/2)~f ~ pairwise inequivalent binary error-correcting codes of length 2 n, size 22n, and minimum distance 2 n 1-2(1/2)n 1. 1.
North-Holland Kerdock codes and related planes
, 1992
"... Among the many aspects of coding theory Jack van Lint has studied intensively are some generalizations of Preparata and Kerdock codes (see Baker et al. (1983), Cameron and Van Lint (1991) and Van Lint (1983)). There are still many open problems concerning these. This note is a brief discussion of pr ..."
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Among the many aspects of coding theory Jack van Lint has studied intensively are some generalizations of Preparata and Kerdock codes (see Baker et al. (1983), Cameron and Van Lint (1991) and Van Lint (1983)). There are still many open problems concerning these. This note is a brief discussion
Quaternionic line-sets and quaternionic Kerdock codes
- LINEAL ALGEBRA AND ITS APPPLICATIONS
, 1995
"... When n is even, orthogonal spreads in an orthogonal vector space of type O−(2n−2,2) are used to construct line-sets of size (2n−1+1)2n−2 in H2n−2 all of whose angles are 90° or cos−1(2−(n−2)/2). These line-sets are then used to obtain quaternionic Kerdock codes. These constructions are based on idea ..."
Abstract
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Cited by 5 (2 self)
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When n is even, orthogonal spreads in an orthogonal vector space of type O−(2n−2,2) are used to construct line-sets of size (2n−1+1)2n−2 in H2n−2 all of whose angles are 90° or cos−1(2−(n−2)/2). These line-sets are then used to obtain quaternionic Kerdock codes. These constructions are based
Kerdock Codes for Limited Feedback Precoded MIMO Systems
, 2008
"... A codebook based limited feedback strategy is a practical way to obtain partial channel state information at the transmitter in a precoded multiple-input multiple-output (MIMO) wireless system. Conventional codebook designs use Grassmannian packing, equiangular frames, vector quantization, or Fourie ..."
Abstract
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Cited by 4 (1 self)
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codebooks may not have a systematic structure to facilitate storage of the codebook and low search complexity. In this paper, we propose a new systematic codebook design based on Kerdock codes and mutually unbiased bases. The proposed Kerdock codebook consists of multiple mutually unbiased unitary bases
Intersections of Golay codes with higher order Kerdock codes
, 1999
"... Golay codewords are useful for transmission schemes such as OFDM, and [MacWilliams/Sloane] demonstrated that these codewords are bent functions contained in second order Reed-Muller codes. This paper investigates the intersection between these codes and Kerdock-like codes. 1 1 Introduction 1.1 Pur ..."
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Golay codewords are useful for transmission schemes such as OFDM, and [MacWilliams/Sloane] demonstrated that these codewords are bent functions contained in second order Reed-Muller codes. This paper investigates the intersection between these codes and Kerdock-like codes. 1 1 Introduction 1
Kerdock codes and extremal Euclidean line-sets
, 802
"... Association schemes related to universally optimal configurations, ..."
DISTRIBUTION OF R-PATTERNS IN THE KERDOCK-CODE BINARY SEQUENCES AND THE HIGHEST LEVEL SEQUENCES OF PRIMITIVE SEQUENCES OVER Z 2 l
"... Abstract. The distribution of r-patterns is an important aspect of pseudorandomness for periodic sequences over finite field.The aim of this work is to study the distribution of r-patterns in the Kerdock-code binary sequences and the highest level sequences of primitive sequences over Z 2 l.By combi ..."
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Abstract. The distribution of r-patterns is an important aspect of pseudorandomness for periodic sequences over finite field.The aim of this work is to study the distribution of r-patterns in the Kerdock-code binary sequences and the highest level sequences of primitive sequences over Z 2 l
Distribution Of R-Patterns In The Kerdock-Code Binary Sequences And The Highest Level Sequences Of Primitive Sequences Over...
, 2004
"... The distribution of r-patterns is an important aspect of pseudorandomness for periodic sequences over finite field.The aim of this work is to study the distribution of r-patterns in the Kerdock-code binary sequences and the highest level sequences of primitive sequences over Z 2 l .By combining the ..."
Abstract
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The distribution of r-patterns is an important aspect of pseudorandomness for periodic sequences over finite field.The aim of this work is to study the distribution of r-patterns in the Kerdock-code binary sequences and the highest level sequences of primitive sequences over Z 2 l .By combining
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