Linear codes with few weights have applications in secret sharing, authentication codes, association schemes, date storage systems, strongly regular graphs and some other fields. In this paper, we present several classes of binary linear codes with two or three weights and study their weight ...
Four families of binary linear codes with three or four weights are derived and the parameters of their duals are also determined. It turns out that the duals of these codes are optimal or almost optimal with respect to the sphere-packing bound. As applications, the codes presented in this ...
fitclinear trains linear classification models for two-class (binary) learning with high-dimensional, full or sparse predictor data. Available linear classification models include regularized support vector machines (SVM) and logistic regression models. fitclinear minimizes the objective function using techniqu...
We propose a new deep learning framework for it, which adopts neural networks to better learn both user and item representations and make these close to binary codes such that the quantization loss is minimized. In addition, we extend the proposed framework for out-of-sample cases, i.e., ...
The covering radius of a linear code is the largest of its coset weights. The space nq can be partitioned into qn-k cosets of an [n, k]q code C, called the standard partition of the space. Two vectors belong to the same coset if and only if they have the same syndrome. The Voro...
a specially designed penalty function, which is based on a piecewise linear function with adjustable slopes. Numerical results show that the resulting DL-aided decoders outperform the original ADMM-penalized decoder for various low density parity check (LDPC) codes with similar computational complexity....
To train a linear SVM model for binary classification on a high-dimensional data set, that is, a data set that includes many predictor variables, use fitclinear instead. For multiclass learning with combined binary SVM models, use error-correcting output codes (ECOC). For more details, see fi...
RUN.shis a bash script showing an example run of the program 64-bit codes. Set the parametersnb,HUGE,hashfunc, etc. to change the setting.RUN.shincludes suggested values form: number of hash tables. Linear scan linscanprovides an efficient implementation of exhaustive linear scan for kNN in...
We introduce a description of everyk-dimensional binary linear code (without repetitions) by means of a polynomial overF 2 k and the trace function ofF 2 k overF 2. Several properties of parameters, weights, automorphism group and related cyclic codes are deduced. Special cases and a connectio...
Codes Cryptogr. 3 (1993) 95-98.Brouwer, A.E., Tolhuizen, L.M.G.M. (1993) A sharpening of the Johnson bound for binary linear codes and the nonexistence of linear codes with Preparata parameters. Designs, Codes and Cryptography 3: pp. 95-98...