Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Benedict Estrella"'
Autor:
Benedict Estrella
Publikováno v:
Recoletos Multidisciplinary Research Journal, Vol 12, Iss 1, Pp 157-168 (2024)
This study investigated the problem of constructing almost difference sets from single and unions of cyclotomic classes of order 10 (with and without zero) of the finite field GF(q), where q is a prime of the form q = 10n+1 for integer n≥1 and q
Externí odkaz:
https://doaj.org/article/5bee99b67b21437db880570bcdc6acec
Autor:
Benedict Estrella
Publikováno v:
Recoletos Multidisciplinary Research Journal, Vol 11, Iss 2, Pp 57-67 (2023)
Almost Difference Sets have extensive applications in coding theory and cryptography. In this study, we introduce new constructions of Almost Difference Sets derived from cyclotomic classes of order 12 in the finite field GF(q), where q is a prime sa
Externí odkaz:
https://doaj.org/article/0138c4b74dfa472a95b99994be3ef982
Autor:
Benedict Estrella
Publikováno v:
Recoletos Multidisciplinary Research Journal, Vol 10, Iss 1, Pp 67-76 (2022)
Let G be an additive group of order v, D be a non-empty proper k-subset of G, and λ be any integer. Then D is a (v, k, λ) - difference set if every nonzero element of the group can be expressed as a difference d1 - d2 of elements of D in exactly λ
Externí odkaz:
https://doaj.org/article/ddc11cd6ee6d40de8451aa26d3a4d6bb
Publikováno v:
Philippine Journal of Science. 150
Let 𝒒𝒒 be a prime of the form 𝒒𝒒 = 𝒏𝒏𝒏𝒏 + 𝟏𝟏 for integers 𝒏𝒏 ≥ 𝟏𝟏 and 𝑵𝑵 > 𝟏𝟏. For 𝒒𝒒 < 𝟏𝟏𝟏𝟏𝟓𝟓, we show that difference sets in the additive group of the field 𝐆𝐆
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67efa8ed630f3c424cb462d50137bf22
https://doi.org/10.56899/150.6b.16
https://doi.org/10.56899/150.6b.16