On the Design of Variable-Length Error-Correcting Codes

Constructions for Variable-Length Error-Correcting Codes

Improved Combinatorial Bounds on Variable Length Error Correcting Codes

Theory of error correcting codes mostly considers all words of same lengths. Mathematical tools of linear algebra and finite fields greatly helped in its development. However all words of equal lengths idea compromises with efficiency which can be better achieved through variable length codes for noisy channels. There is quite some interest and scope in error coding through variable length cod ...

A Study of Variable Length Error Correcting Codes and Reversible Variable Length Codes: Analysis and Applications

is an authentic record of my work carried out under the supervision of Prof. N. Kalyanasundaram and Prof. Bhudev Sharma. I have not submitted this work elsewhere for any other degree or diploma. I am fully responsible for the contents of my Ph.D. Thesis. is a bonafide record of her original work carried out under our supervision. This work has not been submitted elsewhere for any other degree o...

Minimal design of error-correcting output codes

0167-8655/$ see front matter 2011 Published by doi:10.1016/j.patrec.2011.09.023 ⇑ Corresponding author at: Centre de Visió per Com O, 08193 Bellaterra, Barcelona, Spain. E-mail addresses: [email protected] (M.Á. B (S. Escalera), [email protected] (X. Baró), petia@maia maia.uab.es (J. Vitriá), [email protected] (O. Pujol). The classification of large number of object categories is a challenging t...

One-point Goppa Codes on Some Genus 3 Curves with Applications in Quantum Error-Correcting Codes

We investigate one-point algebraic geometric codes CL(D, G) associated to maximal curves recently characterized by Tafazolian and Torres given by the affine equation yl = f(x), where f(x) is a separable polynomial of degree r relatively prime to l. We mainly focus on the curve y4 = x3 +x and Picard curves given by the equations y3 = x4-x and y3 = x4 -1. As a result, we obtain exact value of min...