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math.PR2020
Intransitive dice tournament is not quasirandom
Elisabetta Cornacchia, Jan Hązła
We settle a version of the conjecture about intransitive dice posed by Conrey, Gabbard, Grant, Liu and Morrison in 2016 and Polymath in 2017. We consider generalized dice with …
cs.IT2020★ 1 cited
Almost-Reed--Muller Codes Achieve Constant Rates for Random Errors
Emmanuel Abbe, Jan Hązła, Ido Nachum
This paper considers '-almost Reed-Muller codes', i.e., linear codes spanned by evaluations of all but a fraction of monomials of degree at most . It is shown that for an…