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in this video weamp;#39;ll introduce reed solomon codes as you can tell from the decoration on the title screen here uh i get pretty excited about these i might even add a sound effect if i can figure out how yeah there we go so reed solomon codes are a family of nkqd codes that first achieve the singleton bound that is n is exactly equal to d plus k minus one they emit efficient encoding and decoding algorithms and because of these things they are used all over the place in practice the basic idea behind read solomon codes which weamp;#39;ve seen before right low degree polynomials donamp;#39;t have too many roots thanks polly yeah so the basic idea is as poly the polynomial parrot says low degree polynomials do not have too many roots in particular as weamp;#39;ll define on the next slide the code words of read solomon code are going to consist of evaluations of low degree polynomials so low degree polynomials not having too many roots means that these codewords donamp;#39;t hav