The mΘ Protocol F5 and Hamming mΘ Codes

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Research ID 947RE

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Abstract

The mΘ structure introduce pure and applied mathemat- ics using the set FpZ = Fp ∪ {xpZ | e(x ≡ 0(mod(p)))}, p prime, to then present mathematical structures resulting from the sets originally introduced F. Ayissi Eteme [6]. This work consists in defining on FpZ the notion of Ham- ming code according to mΘ set structure. We show a relation between mΘ protocol F5 and Hamming mΘ code. By using this relation, we get a new steganography based on the bit modalities of a code word.

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Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

Not applicable

Data Availability

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

Funding

This work did not receive any external funding.

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  • Classification

    LCC: QA76

  • Version of record

    v1.0

  • Issue date

    04 September 2023

  • Language

    en

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