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Web568 Cryptogr. Commun. (2024) 10:567–578 bijection from Fpn to itself. A linearized polynomial or p-polynomial [10, Definition 3.49] over Fpn is defined by L(x) = n−1 i=0 aix pi ∈ F pn[x]. It has a unique zero root in Fp nif and only if L(x) permutes Fp, which means that the equation L(x) + b = 0 has a unique nonzero solution for any b ∈ Fpn \{0}. PPs are WebJan 1, 2016 · Galois geometries and coding theory are two research areas which have been interacting with each other for many decades. From the early examples linking linear MDS codes with arcs in finite projective spaces, linear codes meeting the Griesmer bound with minihypers, covering radius with saturating sets, links have evolved to functional codes, … lee county ga school spring break
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