id: 06412249
dt: a
an: 2015b.00929
au: Brophy, Tim
ti: Coding theory.
so: Maasz, Jürgen (ed.) et al., Real-world problems for secondary school
mathematics students. Case studies. Rotterdam: Sense Publishers (ISBN
978-94-6091-541-3/pbk; 978-94-6091-542-0/hbk; 978-94-6091-543-7/ebook).
67-85 (2011).
py: 2011
pu: Rotterdam: Sense Publishers
la: EN
cc: P20 M50
ut: mathematical applications; information technology; coding; information
theory; binary code; barcodes; modular arithmetic; check digit; errors;
images as bits; phase modulation; error correcting codes; geometries;
distance; coordinates; compact disks; error detection; error
correction; complex numbers; art work; cryptography
ci:
li:
ab: From the text: This chapter attempts to link the students’ world of
shopping, curiosity and music to modular arithmetic, trigonometry and
complex numbers. It is hoped that the busy teacher will find here ideas
to enliven classwork and use the students’ natural curiosity as a
pedagogical tool in the exploration of numbers. In the world today we
rely for many things on digital information. Without digital storage
there would be no such thing as a CD or a DVD, satellite television or
an mp3 player. NASA would not have been able to receive pictures from
Mars. Mobile phones would not work. Information stored in digital form
can, indeed will, become corrupted. This leads to errors in the
information stored or transmitted. This article is about the two
processes of first detecting and then correcting these errors.
rv: