Geometric progressions in sumsets over finite fields

Omran Ahmadi; Igor E. Shparlinski

doi:10.1007/s00605-007-0471-7

Geometric progressions in sumsets over finite fields

Omran Ahmadi^*, Igor E. Shparlinski

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Given two sets A, B ⊆ _q ^d, the set of d dimensional vectors over the finite field _q with q elements, we show that the sumset A+B = {a + b

Original language	English
Pages (from-to)	177-185
Number of pages	9
Journal	Monatshefte fur Mathematik
Volume	152
Issue number	3
DOIs	https://doi.org/10.1007/s00605-007-0471-7
Publication status	Published - Nov 2007

Access to Document

10.1007/s00605-007-0471-7

Cite this

@article{e0aee71156674e9ebd363ac5f7a00841,

title = "Geometric progressions in sumsets over finite fields",

abstract = "Given two sets A, B ⊆ q d, the set of d dimensional vectors over the finite field q with q elements, we show that the sumset A+B = {a + b",

author = "Omran Ahmadi and Shparlinski, {Igor E.}",

year = "2007",

month = nov,

doi = "10.1007/s00605-007-0471-7",

language = "English",

volume = "152",

pages = "177--185",

journal = "Monatshefte fur Mathematik",

issn = "0026-9255",

publisher = "Springer, Springer Nature",

number = "3",

}

TY - JOUR

T1 - Geometric progressions in sumsets over finite fields

AU - Ahmadi, Omran

AU - Shparlinski, Igor E.

PY - 2007/11

Y1 - 2007/11

N2 - Given two sets A, B ⊆ q d, the set of d dimensional vectors over the finite field q with q elements, we show that the sumset A+B = {a + b

AB - Given two sets A, B ⊆ q d, the set of d dimensional vectors over the finite field q with q elements, we show that the sumset A+B = {a + b

UR - http://www.scopus.com/inward/record.url?scp=35649002081&partnerID=8YFLogxK

U2 - 10.1007/s00605-007-0471-7

DO - 10.1007/s00605-007-0471-7

M3 - Article

AN - SCOPUS:35649002081

SN - 0026-9255

VL - 152

SP - 177

EP - 185

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 3

ER -

Geometric progressions in sumsets over finite fields

Abstract

Access to Document

Other files and links

Fingerprint

Cite this