Constantine Macris

New London County, Connecticut, United States Contact Info
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As the Chief Information Security Officer at Indigov, a leading platform for digital…

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Publications

  • Constructing Quadratic Equations modulo N to emphasize the differences between real and modular arithmetic operations

    2022 ASEE Annual Conference & Exposition

    Cadets majoring in Cybersecurity at the United States Coast Guard Academy are typically enrolled in the department’s Introductory Cryptography course during the Fall of their Junior year. Many of these students struggled to understand the need to use modular operations to solve quadratic equations modulo N. This was because homework assignments requiring the solution of these equations typically employed equations for which regular real operations were perfectly satisfactory. Quadratic…

    Cadets majoring in Cybersecurity at the United States Coast Guard Academy are typically enrolled in the department’s Introductory Cryptography course during the Fall of their Junior year. Many of these students struggled to understand the need to use modular operations to solve quadratic equations modulo N. This was because homework assignments requiring the solution of these equations typically employed equations for which regular real operations were perfectly satisfactory. Quadratic equations modulo N are assigned to help the students recognize the similarities between modular and real arithmetic while also helping them see the differences. These equations are also introduced to prepare the students for the study of elliptic curves. Three specific differences between modular quadratic equations and real arithmetic quadratic equations were identified. Modular arithmetic equations can fail to have any solutions if the modulus for an otherwise acceptable equation does not permit a multiplicative inverse required for solution. Modular quadratic equations can also have solutions where real quadratic equations would fail to have any solutions (complex solutions). And finally, modular quadratic equations with composite moduli can have many more than two solutions. All three of these differences can be exploited to prevent the students from solving a quadratic equation using real arithmetic methods and thus compel them to use modular techniques. It was observed in assignments that a significant fraction of the students failed to use modular techniques to solve the quadratic equations that were assigned, it was suspected that many of those that did were unsure of why they needed to employ them. After constructing quadratic equations that took advantage of the peculiar properties of modular arithmetic the students were unable to use real arithmetic techniques and had to resort to modular methods thus reinforcing the need to use those methods to solve the modular equations.

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  • Powerboat Magazine

    Bonnier Corporation

    Had my own column on vessel maintenance and repair! From 2004 to 2006!

Honors & Awards

  • First Maritime Award of the Americas

    NAMEPA

    The Inter-American Committee on Ports (CIP) and the North American Marine Environment Protection Association (NAMEPA) have announced their plan to present the First Maritime Award of the Americas.

    The First Maritime Award of the Americas will focus on recognizing successful practices that demonstrate excellence, innovation, and sustainability in the Maritime and Port Sectors. The First Maritime Award of the Americas is being presented with the participation of the Department of…

    The Inter-American Committee on Ports (CIP) and the North American Marine Environment Protection Association (NAMEPA) have announced their plan to present the First Maritime Award of the Americas.

    The First Maritime Award of the Americas will focus on recognizing successful practices that demonstrate excellence, innovation, and sustainability in the Maritime and Port Sectors. The First Maritime Award of the Americas is being presented with the participation of the Department of Sustainable Development (DSD), the Section on Culture and Tourism, and, the Corporate Social Responsibility Program of the Department of Economic and Social Development (DESD) of the OAS Executive Secretariat for Integral Development (SEDI) to recognize successful innovative practices in the Maritime and Port sectors of OAS member States. All winners will receive: an International Recognized Certificate, a trophy, and an air ticket to Washington DC, as well as promotion of the winner’s practices/projects by all the organizing institutions.

    “The Inter-American Committee on Ports is proud of the successful partnership with NAMEPA and delighted to be part of this important and innovative cross-cutting initiative that is not only promoting collaborative synergies between different priority areas of the maritime and port sectors, but also sets a basis for potential cooperation amongst its stakeholders,” stated Jorge Duran, Executive Director of the Inter-American Committee on Ports (CIP).

    "NAMEPA's mission is to 'Save our Seas' through partnerships with like-minded organizations such as the OAS CIP" stated NAMEPA Chairman Clay Maitland. "We are delighted to be partnering with an organization representing ports that are equally committed to safety of the environment."

  • Mystic Chamber 40 Under 40, 2013

    Mystic Chamber of Commerce

    Southeastern Connecticut is a harbor for continual community growth, business resilience and overall prosperity. Our unparalleled small businesses offer experiences unlike anywhere else in the world as they thrive alongside nationally recognized businesses including two of the nation’s most brilliant casinos and other industry leaders like Electric Boat, Pfizer and a thriving tourist economy. All of this advancement occurs directly in the midst of some of New England’s most breathtaking nature…

    Southeastern Connecticut is a harbor for continual community growth, business resilience and overall prosperity. Our unparalleled small businesses offer experiences unlike anywhere else in the world as they thrive alongside nationally recognized businesses including two of the nation’s most brilliant casinos and other industry leaders like Electric Boat, Pfizer and a thriving tourist economy. All of this advancement occurs directly in the midst of some of New England’s most breathtaking nature and water views. Passionate people work to shape the lively economic atmosphere that we here in Southeastern Connecticut enjoy each and every day.
    We are very fortunate to have so many talented, committed and entrepreneurial people who care not only about growing our economy, but also about giving back and paving the way for future generations. Please join us as we recognize those individuals who are making tremendous contributions to our community and the lives of their fellow citizens. It is because of these dedicated people that Southeastern Connecticut will continue to thrive and to be an amazing place to work and live. The Southeastern Connecticut 40 Under Forty Awards Committee invites you to be a vital part of recognizing the achievements of those that are working to make our community stronger!

    http://www.mysticchamber.org/doc/1/40%20under%20forty%20program%20for%20web.pdf

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