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Given a linear code $C$ , one can define the $d$ th power of $C$ as the span of all componentwise products of $d$ elements of $C$ . A power of $C$ may quickly fill the whole space. Our purpose is to answer the following question: does the square of a code typically fill the whole space? We give a positive answer, for codes of dimension $k$ and length roughly $({1}/{2})k^{2}$ or smaller...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.