CYCLIC CODES OVER THE RINGS F2 + UF2 WITH U2 = U AND F2 + UF2 + U2F2 WITH U3 = U

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RAJABI ZOHREH; Khashyarmanesh Kazem

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

CYCLIC CODES OVER THE RINGS F2 + UF2 WITH U2 = U AND F2 + UF2 + U2F2 WITH U3 = U

Author(s)

RAJABI ZOHREH | Khashyarmanesh Kazem

Keywords

CODES OVER RINGS

HAMMING DISTANCE

CYCLIC CODES

DUAL CODES

Abstract

IN THIS PAPER, WE INVESTIGATE THE STRUCTURE AND PROPERTIES OF CYCLIC CODES OVER THE RINGS F2+ UF2 WITH U2=U AND F2+ UF2+ U2F2 WITH U3=U. WE FIND A SET OF GENERATORS FOR THESE CODES. EXAMPLES OF CYCLIC CODES OF VARIOUS LENGTHS ALSO STUDIED.

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APA: Copy

RAJABI, ZOHREH, & Khashyarmanesh, Kazem. (2016). CYCLIC CODES OVER THE RINGS F₂ + UF₂ WITH U² = U AND F₂ + UF₂ + U²F₂ WITH U³ = U. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938714/en

Vancouver: Copy

RAJABI ZOHREH, Khashyarmanesh Kazem. CYCLIC CODES OVER THE RINGS F₂ + UF₂ WITH U² = U AND F₂ + UF₂ + U²F₂ WITH U³ = U. 2016. Available from: https://sid.ir/paper/938714/en

IEEE: Copy

ZOHREH RAJABI, and Kazem Khashyarmanesh, “CYCLIC CODES OVER THE RINGS F₂ + UF₂ WITH U² = U AND F₂ + UF₂ + U²F₂ WITH U³ = U,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938714/en

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