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Using Maple to decode the Hamming codes . . . Example: Hamming-(8,4) code. 1. Type the 8-digit word in Maple. 2. Check and store the overall parity. ...

http://www1.hollins.edu/faculty/clarkjm/Math 350(Coding)/Coding Class 4.pdf

Perfect Codes. Binary Hamming Codes. Decoding of Binary Hamming Codes q-ary Hamming Codes ... Reed-Muller Codes. Subfield Codes. Use of Maple Programming ...

http://www.mzuzu.org/maths/courses/msc5901.pdf

Perfect Codes. Binary Hamming Codes. Decoding of Binary Hamming Codes ... Reed Solomon codes. Dimension of a code. Dual of a code. Use of Maple Programming ...

http://www.mzuzu.org/maths/courses/emt4806.pdf

by using the software MAPLE to solve sets of symbolic equations. .... Note that the free distance df of the code is the Hamming weight of the lowest order. ...

http://ieeexplore.ieee.org/iel2/679/6474/00255152.pdf

Hamming codes correct single errors. In the classical theory, ..... such as MAPLE [18], we may ask directly if there is a feasible ...

http://ieeexplore.ieee.org/iel4/18/14976/00681315.pdf?arnumber=681315

by T Etzion - 1992 - Cited by 7

http://www.cs.technion.ac.il/~etzion/PUB/burst1.pdf

space of H. Xhus, if c = wG is a codeword in a Hamming code, .... with Maple and A4ATLAB, Second Edition. CRC Press, LLC, to appear in Summer 2006. ...

http://archives.math.utk.edu/ICTCM/VOL18/S054/paper.pdf

6 Nov 2009 ... the document Hamming Code available from the Course Documents folder ... factoring is easier to understand and test in Maple.) ...

http://www.imada.sdu.dk/~petersk/DM526/notes/notes8.pdf

by M Nilsson - 1998 - Related articles

http://www.sm.luth.se/csee/courses/sms/019/1998/glonass/glonass.pdf

by J Pursley - Cited by 1

http://www.clemson.edu/sure/projects/jpursley_secon01.pdf

by AR Calderbank - 1998 - Cited by 483

http://www2.research.att.com/~njas/doc/qc2.pdf

by N Heninger - Cited by 6

http://www2.research.att.com/~njas/doc/osce.pdf

Reed-Muller Codes with Maple p. 59. Reed-Muller Codes with MATLAB p. 64. Linear Codes p. 70. Hamming Codes with Maple p. 77. Hamming Codes with MATLAB ...

http://www.gbv.de/dms/bowker/toc/9781584886105.pdf

by A SEÇER - Related articles

http://fbe.dpu.edu.tr/dergi_son/sayilar/fbe_sayi16/05.pdf

Theorem 3 (Hamming code) There exists a cyclic Hamming code of length ..... orems and algorithms: An interface between Isabelle and Maple. ...

http://www.springerlink.com/index/AJGTRA8RJ8HXU82V.pdf

codes including the extended binary Hamming code of length 8, ..... Using Maple, we have the following results. Lemma 2.6 D(m0, v) < E(m0, v) for ...

http://www.springerlink.com/index/P2144810861V7R06.pdf

by J Montague - Related articles

http://www.usna.edu/Users/math/wdj/montague/montague_mathhonors1998-1999.pdf

b in [0,1) and k greater than or equal to 2, we have, using MAPLE syntax, ..... for error correction in a Hamming and Reed-Solomon code. ...

http://www.usna.edu/AcResearch/2002SummaryPDFs/MathematicsDept2002.pdf

by JSDY Sainza - Related articles

http://scripties.fwn.eldoc.ub.rug.nl/FILES/scripties/Wiskunde/Masters/2001/DominguezYSainza.J.S/Math_Drs_2001_JSDSainza.CV.pdf

by D Joyner - 2008 - Related articles

http://sage.math.washington.edu/home/wdj/cookbook/coding-theory/sage-coding-cookbook.pdf

Error correcting codes. Hamming codes with Maple. 10. Shift ciphers and affine ciphers with Maple. 11. Matrices and codes. Hill ciphers with Maple. ...

http://www.mathstat.concordia.ca/pdf/MAST332_COMP367_4_07.pdf

30 Mar 2009 ... the Hamming code achieves the same error correction ability in a more ..... system.org/) or more commonly available system MAPLE (http://www ...

http://www.informaworld.com/index/910817404.pdf

3.6 Hamming Codes with Maple. In this section we show how Maple can be used to construct codewords and correct errors in the [15, 11] Hamming code. ...

http://lib.org.by/get/Cs_Computer science/CsCa_Computer algebra/Klima, Sigmon, Stitzinger. Applications of Abstract Algebra with MAPLE (CRC, 1999)(251s)_CsCa_.pdf

by K Acosta - 2001 - Related articles

http://www.uprh.edu/~simu/Reports2001/ALH.pdf

We can write a Maple function to detect the distance between two code .... With this method (due to Hamming), we can detect and correct a single ...

http://www.cs.pdx.edu/~jhein/books/MapleLabBook09.pdf

the Maple code needed to complete a project. The goal of the projects is to ...... error-detecting code, and the error-correcting Hamming (7,4) code is also ...

http://www.math.sc.edu/~meade/msw2004/laylinalg/IMM3_05Sep.pdf

Maple's library functions fall into four categories: 1) "builtin" functions internal to the ... (b) LetCbe the binary Hamming code with parity check matrixH ...

ftp://ftp.math.uic.edu/pub/Hanson/MCS/CS-Masters99spring.pdf

by A Klein - 2005 - Related articles

http://cage.ugent.be/~klein/papers/Hamming.pdf

by C Ballarin - Cited by 4

http://www.cl.cam.ac.uk/~lp15/papers/Ballarin/aisc98.pdf

(Hamming code) There exists a cyclic Hamming code of length 2r − 1 with ..... algorithms: An interface between Isabelle and Maple. ...

http://www.cl.cam.ac.uk/~lp15/papers/Ballarin/coding.pdf

by A Ashikhmin - 1999 - Cited by 36

http://www.physics.princeton.edu/~mcdonald/examples/QM/ashikhmin_ieeetit_45_1206_99.pdf

Golay code 852. Hamming code 852. Hamming distance 851, 1168 hard-decision decoding 853 ...... Maple (software) 3. Marginals 743, 759, 825. Markov chain 825 ...

http://www.nr.com/nr3index.pdf

Code: include the Matlab or Maple code you used. ... Richard Hamming. Computers are useless. They can only give you answers. ~ Pablo Picasso ...

http://math.boisestate.edu/~wright/courses/m365/Math365Syllabus.pdf

A codeword c in the special Hamming code Ham4 is transmitted and subjected ..... quired in this method is 6358 which was obtained using the Maple command ...

http://www.david-jordan.staff.shef.ac.uk/pma328/328prob10.pdf

by WJ Martin - 2009 - Related articles

http://www.math.upd.edu.ph/cimpa_philippines_school/images/pdf/bill_martin_lecture_notes.pdf

You can also view this case study in the following formats: Maple ..... So the Hamming (7,4) code is an error-detecting code. The following theorem will ...

http://abacus.bates.edu/~cshor/winter06/ma205/eccodes.pdf

Benji Schwimmer hamming it up for the crowd. TSDS Open house .... No cover or dress code. 416-690-6222. Dancing in the Wild: Noah's Ark By Mona Paris ...

http://dancetimetoronto.com/PDF issues/NovDecwebsite.pdf

(a) you can type in commands from the keyboard to ask Maple to perform ...... in which wi is the number of words in the code with Hamming weight i. The ...

http://mathcs.holycross.edu/~little/MSRI-UP2009/Labs.pdf

We observe that MAPLE preferred the naïve deterministic algorithm. ...... matrix of a Hamming code. We have that. M = [T, I] = 0 1 1 ...

ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-2006.pdf

The well-known Hamming codes are presented in Chapter 5, ...... cyclic codes which will be described in Chapter 7, algebraic computer systems like MAPLE ...

http://www.computing.surrey.ac.uk/personal/st/S.Moschoyiannis/papers-source/GroupTheory&ErrorDetectingCorrectingCodes.pdf

by N Bergen - Cited by 1

http://www.computing.surrey.ac.uk/personal/st/H.Schaathun/research/hyperpdf/may2001.pdf

few for current applications, but the Hamming code will work fine with a third check digit, ...... symbolic algebra packages such as Maple or Mathematica. ...

http://www.cs.utsa.edu/~wagner/lawsbookcolor/laws.pdf

26 Oct 2001 ... While constant Hamming weight codes exist in all ..... EP has been numerically verified for N ≤ 256 (Maple computations of the ...

http://www.ams.org/tran/2002-354-03/S0002-9947-01-02905-1/S0002-9947-01-02905-1.pdf

by W KELLER - Related articles

http://www.math.u-bordeaux1.fr/~martinet/KMSprov.pdf

by ML SHOOMAN - 2002 - Cited by 181

http://notes.ump.edu.my/fkee/e-Books/Computer and embedded system/Martin Shooman - Reliability of Computer Systems and Networks - Fault Tolerance Analysis and Design (Wiley, 2002).pdf

by O Caprotti - Cited by 3

http://webalt.math.helsinki.fi/content/e16/e301/e818/finalCISSE2006--pdffile_eng.pdf

In later Chapters, we need extended ternary Hamming codes, shortened or extended Reed- ...... By using Maple 9, we obtain a unique positive solution ...

http://smartech.gatech.edu/bitstream/1853/14072/1/jiang_wen_200612.pdf

by F Lazebnik - 2000 - Related articles

http://www.math.udel.edu/~lazebnik/papers/689H1-4S.pdf

by JP FALCONE - 2004All communication uses hamming code to encode and decode" _ ...... Software: Matlab, Maple, System view, Proficient in Microsoft office suite. ...

http://www.temple.edu/k3tu/RoverFinalReport.pdf

by Y Xin - 2008 - Related articles

http://paros.stanford.edu/~jiang/data/bypass_vt08.pdf