Consider a radix 3 (possibly non-linear) code C of length n = 5 and minimum distance d(C) = 5. What is the greatest possible value of C), according to the Sphere-Packing Bound?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 74E
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Consider a radix 3 (possibly non-linear) code C of length n = 5 and minimum distance d(C) = 5.
What is the greatest possible value of C), according to the Sphere-Packing Bound?
Tip: The code C is not necessarily non-linear, so its size is not as fixed.
Note that a code C with the parameters that we have here might not actually exist - but we are choosing to ignore this possibility
purposes of this question.
A correct answer is 4, which can be typed in as follows:
4.
Transcribed Image Text:Consider a radix 3 (possibly non-linear) code C of length n = 5 and minimum distance d(C) = 5. What is the greatest possible value of C), according to the Sphere-Packing Bound? Tip: The code C is not necessarily non-linear, so its size is not as fixed. Note that a code C with the parameters that we have here might not actually exist - but we are choosing to ignore this possibility purposes of this question. A correct answer is 4, which can be typed in as follows: 4.
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