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Chapter 5: Designs of Binary Reed-Muller Codes

      https://doi.org/10.1142/9789813274334_0005Cited by:0 (Source: Crossref)
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      Abstract:

      In this chapter, we first treat binary Reed-Muller codes in details and then study their designs. Binary Reed-Muller codes are named after Reed (1954) and Muller (1954). These codes are of special interest, as they hold exponentially many 3-designs.