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Higher Grassmann codes II |
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| Affiliation: | 1. Tulane University, New Orleans, LA, United States of America;2. The Ohio State University, Columbus, OH, United States of America;3. University of Missouri-St. Louis, St. Louis, MO, United States of America |
| Abstract: | We compute the parameters of the linear codes that are associated with higher dimensional projective embeddings of Grassmannian when the degree exceeds the number of elements of the finite field. We investigate various dimension formulas for the projective Reed-Müller codes. We show that the duals of higher Grassmann codes are given by higher Grassmann codes or their simple extensions. |
| Keywords: | Higher Grassmann codes Parameters of a code |
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