This paper presents the research results of mixed base number systems using binomial
representation of numbers. It also shows the investigated non-linear coding techniques with …

We characterize the structures and properties of one-homogeneous weight linear codes
[Formula: see text] over Fp [u]/〈 um〉 of type [Formula: see text] with one unique nonzero …

Error-correcting codes were introduced to combat errors in communication channels,
storage devices, and other computerized systems. In each such system, the information may …

In non-volatile memories, reading stored data is typically done through the use of
predetermined fixed thresholds. However, due to problems commonly affecting such …

Instantaneous or statistical channel state information (CSI) is needed for most detection
schemes developed for molecular communication (MC) systems. Since the MC channel …

Constant weight codes (CWCs) and constant composition codes (CCCs) are two important
classes of codes that have been studied extensively in both combinatorics and coding …

Recently, Chee and Ling (“Constructions for q-ary constant-weight codes”, IEEE Trans. Inf.
Theory, vol. 53, no. 1, 135–146, Jan. 2007) introduced a new combinatorial construction for …

If S is a transitive metric space, then| C|⋅| A|≤| S| for any distance-d code C and a set
A,“anticode”, of diameter less than d. For every Steiner S (t, k, n) system S, we show the …

An optimal constant-composition or constant-weight code of weight w has linear size if and
only if its distance d is at least 2w-1. When d≧2w, the determination of the exact size of such …

We give some natural sufficient conditions for balls in a metric space to have small
intersection. Roughly speaking, this happens when the metric space is (i) expanding and (ii) …