动态一元编码简介
Introduction to Dynamic Unary Encoding
摘要:
动态一元编码将一元编码提升到一个新的水平。每个n位二进制串都是动态一元编码,每个n位二进制串都可以用动态一元编码。通过利用一元码和一位奇偶校验信息的两种形式,动态一元编码将2^n个非负整数划分为n组n位元素的不相交循环。这些周期已被用作虚拟数据集,二进制变换和作为一个数学对象。表征的周期和周期谱。编码和解码算法的例子。利用动态一元编码的原则的其他结构的例子。循环作为一个数学对象进行了论证。
英文摘要:
Dynamic unary encoding takes unary encoding to the next level. Every n-bit binary string is an encoding of dynamic unary and every n-bit binary string is encodable by dynamic unary. By utilizing both forms of unary code and a single bit of parity information dynamic unary encoding partitions 2^n non-negative integers into n sets of disjoint cycles of n-bit elements. These cycles have been employed as virtual data sets, binary transforms and as a mathematical object. Characterization of both the cycles and of the cycle spectrum is given. Examples of encoding and decoding algorithms are given. Examples of other constructs utilizing the principles of dynamic unary encoding are presented. The cycle as a mathematical object is demonstrated.
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