3 papers
math.AG2020
Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol
David Grant, John D. Massman, III +1
We give a new construction of linear codes over finite fields on higher dimensional varieties using Grothendieck's theory of residues. This generalizes the construction of differen…
math.NT2019
On the universal p-adic sigma and Weierstrass zeta functions
Clifford Blakestad, David Grant
For primes we produce a new derivation of the universal -adic sigma function and -adic Weierstrass zeta functions of Mazur and Tate for ordinary elliptic curves by a me…
cs.IT2013
Higher genus universally decodable matrices (UDMG)
Steve Limburg, David Grant, Mahesh K. Varanasi
We introduce the notion of Universally Decodable Matrices of Genus g (UDMG), which for g=0 reduces to the notion of Universally Decodable Matrices (UDM) introduced in [8]. A UDMG i…