Talk by Prof. Dr. Alfred Wassermann
Speaker invited by: Prof. Dr. Joachim Rosenthal
Date: 09.11.22 Time: 15.00 - 16.00 Room: Y27H25
Rudolph (1969) used combinatorial designs as parity check matrices of linear codes for majority logic decoding. This decoding method is still interesting today for devices with limited computational resources and because of the connection to LDPC decoding. While Rudolph suggested to use the geometric designs introduced by Bose (1949), recent advances in subspace designs, q-analogs of group divisible designs and designs in finite classical polar spaces give linear codes with improved majority logic decoders. In this talk, we give an overview of the topic and present recent results in design theory in finite classical polar spaces in connection to the above mentioned application in coding theory.
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