Results 241 to 250 of about 9,296 (263)

The graph of 4-ary simplex codes of dimension 2

Finite Fields and Their Applications, 2020
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Mariusz Kwiatkowski, Mark Pankov
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On ℤ4-Simplex Codes and Their Gray Images

1999
In [7] Rains has shown that for any linear code C over Z4, dH, the minimum Hammimg distance of C and dL, the minimum Lee distance of C satisfy dH ≥ ⌈dL/2⌉. C is said to be of type α(β) if dH = ⌈dL/2⌉ (dH > ⌈dL/2⌉). In this paper we define Simplex codes of type α and β, namely, Skα and Skβ, respectively over Z4.
Mahesh C. Bhandari, Manish K. Gupta 0004, Arbind K. Lal   +2 more
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Structural Extension of Polar Codes via Simplex Kernels

IEEE Transactions on Communications, 2020
In this paper, we introduce a structural extension method of polar codes as a new code modification method. Structural extension is a systematic method of generating additional codeword bits from the mother code by selecting intermediate bits obtained in the middle of the polar encoding. We start by studying simplex-extension from a $2\times 2$
Min Jang, Jong-Hwan Kim 0003, Seho Myung, Hayoung Yang, Sang-Hyo Kim   +4 more
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Projective linear codes and their simplex complementary codes

Journal of Algebra
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hao Chen, Conghui Xie
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Evaluation of Simplex Codes for Photoacoustic Coded Excitation

2009
In biomedical photoacoustics (PA) ultrasound is generated by laser irradiation of tissue. Usually, PA signals are generated by Nd:YAG lasers, but it would be attractive to use less expensive laser diodes instead. Although laser diodes exhibit low pulse energy, the pulse repetition frequency (PRF) of pulsed laser diodes is much higher than the PRF of Nd:
Martin P. Mienkina, A. Eder, C. -S. Friedrich, N. C. Gerhardt, M. R. Hofmann, G. Schmitz   +5 more
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The covering radius for the Lee, euclidean and homogeneous distance of the Simplex codes and related codes

Journal of Applied Mathematics and Computing
Minjia Shi, Xingxing Xu, Patrick Sole
exaly   +2 more sources

Performance of Simplex Signaling in Circular Trellis-Coded Modulation

Digital Signal Processing, 2001
Abstract Alder, F. A., Dill, J. C., and Lindsey, A. R., Performance of Simplex Signaling in Circular Trellis-Coded Modulation, Digital Signal Processing11 (2001) 159–167 This paper presents measures of performance of simplex signaling in a circular trellis-coded modulation (CTCM) scheme. Background is given on both CTCM and simplex signaling.
Frank A. Alder, Jeffrey C. Dill, Alan R. Lindsey   +2 more
openaire   +1 more source

Information rate in a continuous channel for regular-simplex codes

IEEE Transactions on Information Theory, 1960
M equally probable symbols may be encoded as continuous waveforms whose sample values are the coordinates of the vertices of a regular simplex in N dimensions. These vertices or code points, therefore, are equally spaced, and the resulting waveforms are adapted particularly to low signal-to-noise communication systems.
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Unit Zq-Simplex Codes of type α and Zero divisor Zq-Simplex Codes

2022
MAHALAKSHMI, J, Prabu, J, Santhakumar, S
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On symbol-pair weight distribution of MDS codes and simplex codes over finite fields

Cryptography and Communications, 2020
Jinquan Luo, Luo Jinquan
exaly