Free download скачать Algebraic-Geometric Codes by M. A. Tsfasman , S. G. Vlăduţ
English | PDF | 1991 | 671 Pages | ISBN : 0792307275 | 62.5 MB
This  book  is  devoted  to  algebraic-geometric  codes  - the recently  emerged  area  which  combines  algebraic  geometry  and coding  theory.  Its  interdisciplinary  nature  - which  makes  it so  beautiful  - also  leads  to  some  difficulties  for  those  who want  to  master  it.  We  try  to  help  all  those  coming  in  touch with  this  field,  from  students  to  specialists.  starting  from essentially  first  principles,  the  text  leads  the  reader  to the  most  recent  published  and  unpublished  results.  We  do  not assume  any  initial  knowledge  either  of  coding  theory  or of algebraic  geometry.

Algebraic-geometric  codes  open  new  rather  exciting possibilities  in  coding  theory  and  related  topics  (such  as sphere  packings).  They  also  lead  to  a  lot  of  deep  and sometimes  very  difficult  questions  in  algebraic  geometry  and number  theory.  We  think  that  the  next  decade  will  witness many  new  interesting  results,  methods,  and  problems  in  this fruitful  area.  We  hope  this  book  to  be  of  some  use  for  those who  choose  this  area  for  their  own.
To  make  reading  more  interesting  we  have  included  a  lot of  exercises  (with  hints  to  those  that  do  not  look  easy  to us)  and  many  open  research  problems.
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