4. A linear code is given by the encoding function y = ax+b (mod 26) and the decoding function x = cy + d (mod 26). (a) If a 11 and b = 2, what are c and d, where c and d are integers from 0 to 25? = (b) If we are sure that E encodes to H while B encodes to M, determine a, b, c, d where they are each integers from 0 to 25. (Recall A=0, B=1, ...)

4. A linear code is given by the encoding function y = ax+b (mod 26) and the decoding function x = cy + d (mod 26). (a) If a 11 and b = 2, what are c and d, where c and d are integers from 0 to 25? = (b) If we are sure that E encodes to H while B encodes to M, determine a, b, c, d where they are each integers from 0 to 25. (Recall A=0, B=1, ...)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 60RE

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Similar questions

Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .

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