Mod-01 Lec-11 Codes over Finite Fields, Minimal Polynomials

Course Lectures

• Mod-01 Lec-01 Introduction to Linear Block Codes

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• Mod-01 Lec-02 Properties of Linear Block Codes

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• Mod-01 Lec-03 Dual of Linear Block Codes

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• Mod-01 Lec-04 Minimum Distance of Codes

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• Mod-01 Lec-05 Operations on Codes

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• Mod-01 Lec-06 Bounds on Code Parameters

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• Mod-01 Lec-07 Optimal Decoders

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• Mod-01 Lec-08 Syndrome Decoder, Basics of Finite Fields

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• Mod-01 Lec-09 Construction of Finite Fields

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• Mod-01 Lec-10 Computations in Finite Fields

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• Mod-01 Lec-11 Codes over Finite Fields, Minimal Polynomials

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• Mod-01 Lec-12 BCH Codes

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• Mod-01 Lec-13 BCH and RS Codes I

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• Mod-01 Lec-14 BCH and RS Codes II

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• Mod-01 Lec-15 Decoding BCH Codes

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• Mod-01 Lec-16 Decoding RS Codes

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• Mod-01 Lec-17 Coded Modulation and Soft Decision Decoding

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• Mod-01 Lec-18 Optimal Decoders for BPSK over AWGN

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• Mod-01 Lec-19 Bitwise MAP Decoder for BPSK over AWGN

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• Mod-01 Lec-20 Bitwise MAP Decoder from the Dual Code

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• Mod-01 Lec-21 Simulating Coded Modulation

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• Mod-01 Lec-22 Union Bound, Introduction to LDPC Codes

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• Mod-01 Lec-23 LDPC Codes

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• Mod-01 Lec-24 Message Passing, Density Evolution Analysis

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• Mod-01 Lec-25 Thresholds of LDPC Codes

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• Mod-01 Lec-26 Irregular LDPC Codes

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• Mod-01 Lec-27 Optimized Irregular LDPC Codes, Soft Message Passing Decoders

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• Mod-01 Lec-28 Density Evolution for Soft Message Passing Decoding of LDPC Codes

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• Mod-01 Lec-29 LDPC Codes in Practice

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• Mod-01 Lec-30 Introduction to Convolutional Codes

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• Mod-01 Lec-31 Viterbi Decoding of Convolutional Codes

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• Mod-01 Lec-32 Union Bound, Recursive Convolutional Encoders

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• Mod-01 Lec-33 Convolutional Codes in Practice

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• Mod-01 Lec-34 BCJR Decoder

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• Mod-01 Lec-35 BCJR and Max-Log-MAP Decoder, Introduction to Turbo Codes

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• Mod-01 Lec-36 Turbo Decoder

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• Mod-01 Lec-37 Turbo Codes in Practice

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• Mod-01 Lec-38 Modern Codes

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