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Section: New Results

Information sets of multiplicity codes

The codes we used in our PIR protocols, namely Reed-Muller and their generalization Multiplicity codes, are locally correctable : that means that local decoding allows to retrieve encoded symbols. In most applications, it is very desirable to retrieve information symbols. Another line of work in this topic was thus to find an encoding method for multiplicity codes so as to directly recover an information symbol from local correction, and not an encoded symbol. To do so we defined information sets for multiplicity codes, and design a systematic encoding based on this information set. This work was presented at ISIT'2015 in Hong-Kong in June [18] .