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排序方式: 共有68条查询结果,搜索用时 78 毫秒
1.
Ron M. Roth 《Designs, Codes and Cryptography》1996,9(2):177-191
Codes
of length 2
m
over {1, -1} are defined as null spaces of certain submatrices of Hadamard matrices. It is shown that the codewords of
all have an rth order spectral null at zero frequency. Establishing the connection between
and the parity-check matrix of Reed-Muller codes, the minimum distance of
is obtained along with upper bounds on the redundancy of
. An efficient algorithm is presented for encoding unconstrained binary sequences into
. 相似文献
2.
Makram Hamouda 《Applicable analysis》2013,92(4):837-866
Our aim in this article is to study singularly perturbed problems which display boundary layers in the interior of the domain. These interior boundary layers which supplement the usual boundary layers at the boundary, are generated by discontinuities in the data. Second-order linear elliptic one-dimensional and multi-dimensional problems are considered in this article. 相似文献
3.
Todd D. Vance 《Designs, Codes and Cryptography》2000,19(1):27-43
The weight distribution of GRM (generalized Reed-Muller) codes is unknown in general. This article describes and applies some new techniques to the codes over F3. Specifically, we decompose GRM codewords into words from smaller codes and use this decomposition, along with a projective geometry technique, to relate weights occurring in one code with weights occurring in simpler codes. In doing so, we discover a new gap in the weight distribution of many codes. In particular, we show there is no word of weight 3m–2 in GRM3(4,m) for m>6, and for even-order codes over the ternary field, we show that under certain conditions, there is no word of weight d+, where d is the minimum distance and is the largest integer dividing all weights occurring in the code. 相似文献
4.
P. Seneviratne 《Discrete Mathematics》2009,309(8):1967-3119
Partial permutation decoding is shown to apply to the first-order Reed-Muller codes R(1,m), where m>4 by finding s-PD-sets for these codes for 2≤s≤4. 相似文献
5.
Frame expansions in separable Banach spaces 总被引:2,自引:0,他引:2
Banach frames are defined by straightforward generalization of (Hilbert space) frames. We characterize Banach frames (and Xd-frames) in separable Banach spaces, and relate them to series expansions in Banach spaces. In particular, our results show that we can not expect Banach frames to share all the nice properties of frames in Hilbert spaces. 相似文献
6.
K. Goeke J. Ossmann P. Schweitzer A. Silva 《The European Physical Journal A - Hadrons and Nuclei》2006,27(1):77-90
The dependence of the nucleon mass on the mass of the pion is studied in the framework of the chiral quark-soliton model.
A remarkable agreement is observed with lattice data from recent full dynamical simulations. The possibility and limitations
to use the results from the chiral quark soliton model as a guideline for the chiral extrapolation of lattice data are discussed. 相似文献
7.
在二值和多值逻辑研究中,最常用的两种函数表达式是基于格代数的SOP表达式和基于Galois域的Reed-Muller展式(RM展式)。由RM展式实现的电路由于具有故障诊断容易和线性运算功能,因而在可靠性设计、编码理论和数字通信中得到了广泛的应用。然而,RM展式系数向量不象SOP表达式那样与函数值向量有直接对应关系,因此RM展式系数向 相似文献
8.
A snake-in-the-box code (or snake) of word length n is a simple circuit in an n-dimensional cube Q
n
, with the additional property that any two non-neighboring words in the circuit differ in at least two positions. To construct
such snakes a straightforward, non-recursive method is developed based on special linear codes with minimum distance 4. An
extension of this method is used for the construction of covers of Q
n
consisting of 2
m-1 vertex-disjoint snakes, for 2
m-1 < n ≤ 2
m
. These covers turn out to have a symmetry group of order 2
m
.
相似文献
9.
Random processes passed through zero memory nonlinearities are considered in terms of the preservation of mean square continuity. Then, series expansions of bivariate densities in orthonormal functions are treated, under the assumption that the bivariate density is associated with a first order stationary random process. It is shown that, if the random process is mean square continuous, then the orthonormal functions in the series expansion must be complete. 相似文献
10.