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20102026
most citedDesign, Calibration, and Performance of the MINERvA Detector

212 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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cs.IT2019

Finding a Generator Matrix of a Multidimensional Cyclic Code

R. Andriamifidisoa, R. M. Lalasoa, T. J. Rabeherimanana

We generalize Sepasdar's method for finding a generator matrix of two-dimensional cyclic codes to find an independent subset of a general multicyclic code, which may form a basis o…

cs.IT2019

A Dynamical System-based Key Equation for Decoding One-Point Algebraic-Geometry Codes

Ramamonjy Andriamifidisoa, Rufine Marius Lalasoa, Toussaint Joseph Rabeherimanana

A closer look at linear recurring sequences allowed us to define the multiplication of a univariate polynomial and a sequence, viewed as a power series with another variable, resul…

cs.IT2018

A decoding algorithm for binary linear codes using Groebner bases

Harinaivo Andriatahiny, Jean Jacques Ferdinand Randriamiarampanahy, Toussaint Joseph Rabeherimanana

It has been discovered that linear codes may be described by binomial ideals. This makes it possible to study linear codes by commutative algebra and algebraic geometry methods. In…

cs.IT2018

Decoding binary Reed-Muller codes via Groebner bases

Harinaivo Andriatahiny, Jean Jacques Ferdinand Randriamiarampanahy, Toussaint Joseph Rabeherimanana

The binary Reed-Muller codes can be characterized as the radical powers of a modular algebra. We use the Groebner bases to decode these codes.