The University of Southampton
University of Southampton Institutional Repository

Closed-Form Approximation of Maximum Free Distance for Binary Block Codes

Akhtman, Jos, Bonello, Nicholas, Maunder, Robert G. and Hanzo, Lajos (2009) Closed-Form Approximation of Maximum Free Distance for Binary Block Codes At VTC'09 Fall, United States. 20 - 23 Sep 2009.

Record type: Conference or Workshop Item (Poster)


We devise an analytically simple as well as invertible approximate expression, which describes the relation between the maximum free distance of a binary code and the corresponding maximum attainable code-rate. For example, for a half-rate, length-128 binary code the known bounds limit the maximum attainable free distance to $16<d(n=128,r=0.5)<32$, while our solution yields $d(n=128,r=0.5)\approx 22$. The results provided may be utilized for the design and characterization of efficient coding schemes.

PDF paper.pdf - Accepted Manuscript
Download (167kB)

More information

Published date: 20 September 2009
Additional Information: Event Dates: 20–23 September 2009
Venue - Dates: VTC'09 Fall, United States, 2009-09-20 - 2009-09-23
Keywords: coding rate, free distance, upper bound, binary code, coding theory
Organisations: Southampton Wireless Group


Local EPrints ID: 267544
PURE UUID: 3d9810ab-a135-479f-91ff-9d2034265d08
ORCID for Robert G. Maunder: ORCID iD

Catalogue record

Date deposited: 10 Jun 2009 16:18
Last modified: 18 Jul 2017 07:02

Export record


Author: Jos Akhtman
Author: Nicholas Bonello
Author: Robert G. Maunder ORCID iD
Author: Lajos Hanzo

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.