Course Section 1 Content Section 1 Content Left Section 1 Content Right Credit Type: Course ACE ID: NNCS-0697 Version: 4 Organization's ID: MATH3330 Organization: National Cryptologic University Location: Classroom-based Length: 60 hours Minimum Passing Score: 70 ACE Credit Recommendation Period: 12/1/2024 - 11/30/2027 10/1/2021 - 11/30/2024 11/1/2018 - 9/30/2021 1/1/2016 - 10/31/2018 Credit Recommendation & Competencies Section 2 Content Section 2 Content Left Section 2 Content Right Level Credits (SH) Subject Upper-Division Baccalaureate 3 Algebraic Coding Theory Description Section 3 Content Section 3 Content Left Section 3 Content Right Objective: The course objective is to introduce information theory as well as classical and modern error-correcting codes for students with technical degree (mathematics, engineering, computer science, or physics). Learning Outcomes: design an implementation of an encoder or decoder for block codes assess the limitations of a given error-correcting code deduce the precise role that finite fields play in the design and implementation of error-correcting codes assess the limitations of a given error-correcting code illustrate the major connections of coding theory with linear recursive sequence theory and analysis validate the tradeoffs between error correction capacity of a code outline the major trends in error coding evaluate mathematically, the major kinds of block codes used for error correction in digital communication General Topics: • Finite Fields • Block codes • Linear codes • Perfect codes • Cyclic codes • BCH codes • Reed-Solomon codes • Goppa codes • Convolutional codes • Parallel concatenated convolutional codes (PCCC) • Turbo Product codes (TPC) • Low Density Parity Check codes (LDPC) • Other applicable codes • Syndrome decoding • Berlekamp-Massy algorithm • Chien search • Viterbi decoding • Sequential decoding • BCJR algorithm • Min-Sum algorithm Instruction & Assessment Section 4 Content Section 4 Content Left Section 4 Content Right Instructional Strategies: Classroom Exercise Discussion Lectures Practical Exercises Methods of Assessment: Other exercise sets, classroom participation, programming exercises Supplemental Materials Section 5 Content Section 5 Content Left Section 5 Content Right Equivalencies Section 6 Content Section 6 Content Left Section 6 Content Right Button Content Rail Content 1 Other offerings from National Cryptologic University View All Courses College Credit Opportunities Page Content