Optimal block-codes (in the sense of minimum average error probability, using maximum
likelihood decoding) with a small number of codewords are investigated for the binary …

This paper investigates fundamental properties of nonlinear binary codes by looking at the
codebook matrix not row-wise (codewords), but column-wise. The family of weak flip codes …

A coding scheme for transmission of a bit maps a given bit to a sequence of channel inputs
(called the codeword associated with the transmitted bit). In this paper, we study the problem …

In this paper, we re-introduce from our previous work [1] a new family of nonlinear codes,
called weak flip codes, and show that its subfamily fair weak flip codes belongs to the class …

I propose a new communications scheme where signature signals are used to carry digital
data by suitably modulating the signal parameters with information bits. One possible …

在這篇論文中, 我們探討數種二元無記憶通道模式下的極小區塊碼(ultra-small block code)
的最佳設計(optimal design), 所探討的二元無記憶通道模式包含: 二元非對稱通道(binary …

Nonlinear channel codes are employed to protect two information fields that are related to
the daylight saving time (DST) and leap second notifications within the enhanced WWVB …

One of the fundamental goals of coding theory is to find optimal codes, in terms of achieving
the largest probability of correct decoding. Most of the foundational works on optimal codes …

A Closed-Form Expression for the Exact Average Error Probability of Arbitrary Binary Codes
over the Binary Erasure Channel Page 1 A Closed-Form Expression for the Exact Average …

Based on a new way of designing codes using codebook columns, a family of nonlinear
codes, called weak flip codes, is presented and shown to contain many beautiful properties …