Abstract:
By studying the algebraic structure of the parity check matrix of a linear code we show that the weight distribution is a function only of the quantitiesN_{\upsilon}^{u},...Show MoreMetadata
Abstract:
By studying the algebraic structure of the parity check matrix of a linear code we show that the weight distribution is a function only of the quantitiesN_{\upsilon}^{u}, the number of\upsiloncolumns of the parity check matrix with ranku. We apply this to obtain a new formula for the weight distribution of the distance3 s-ary Hamming code and for the distance4 s-ary conic code. We give the definition of a conic code and some of its properties.
Published in: IEEE Transactions on Information Theory ( Volume: 15, Issue: 6, November 1969)
Department dInformatique, University of Montreal, Montreal, QUE, Canada
North Carolina State University, Chapel Hill, USA
Department dInformatique, University of Montreal, Montreal, QUE, Canada
North Carolina State University, Chapel Hill, USA
