16 Let C be the binary code of vectors (C₁, C2, ..., C8) € GF(2) ¹6 satisfying the equations Σi=1 Ci = 0, Σ=1 ciai = 0, where a₁, Q2, ..., a16 are all the ele- ments of GF(16) in some order. Show that C is a [16, k, d]-linear code with k≥ 11
16 Let C be the binary code of vectors (C₁, C2, ..., C8) € GF(2) ¹6 satisfying the equations Σi=1 Ci = 0, Σ=1 ciai = 0, where a₁, Q2, ..., a16 are all the ele- ments of GF(16) in some order. Show that C is a [16, k, d]-linear code with k≥ 11
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![Let C be the binary code of vectors (C₁, C₂, ..., C8) – GF(2) ¹6
16
satisfying
the equations
Σ₁=1 Ci
0, Σ=1C;ai =
=
16
0, where a₁, a2, ..., a₁6 are all the ele-
ments of GF (16) in some order.
Show that C is a [16, k, d]-linear code with k ≥ 11
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09c2f836-a777-444b-9271-94b360db7692%2F1aa28c8f-131a-4e87-acd5-1ccb99576975%2Fvmmdrp5_processed.png&w=3840&q=75)
Transcribed Image Text:Let C be the binary code of vectors (C₁, C₂, ..., C8) – GF(2) ¹6
16
satisfying
the equations
Σ₁=1 Ci
0, Σ=1C;ai =
=
16
0, where a₁, a2, ..., a₁6 are all the ele-
ments of GF (16) in some order.
Show that C is a [16, k, d]-linear code with k ≥ 11
=
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