309,142 research outputs found

    Huff Collection; no.00120

    No full text
    Black and white image of newly elected 1931 Grant County officials. All individuals identified- posed, standing from left; W. J. ""Bill"" Rose, Probate Judge- died December 5th, 1932; Mrs. Cora H. Holland, School Superintendent; John E. Casey, Sheriff; Mrs. Dorothy D. Hunter, Assessor; Miss Gertrude Bell, Treasurer; William H. Bard, Clerk- died 1932. Sitting at bench,George W. Hay, District Judge- died January 7th, 1941. Sitting in chairs from the left; Steve Villareal, Commissioner, District 3; John A. Moses, Commissioner, District 1; George Delk, Commissioner, District 2- died 1940. Image mounted on tan with brown boarded matte board.Master file: image/tiff; 134,459 KB; Computer Hardware: Intel Pentium (R) 4 3.20 GHz/ 1.99 GB RAM manufactured by Dell; Operating system: Windows XP 2002; Creation software: Adobe Photoshop CS2 version 9.0.2; Scanner: flatbed reflective scanner Microtek 1000XL; Scanner software: Microtek SilverFast Ai 6.4.2r2b; Scanned by Jackie Becker on 2009-10-15

    Emil E. Huff, (1897-1955), purchased by Mrs. Elsie Huff on May 20, 1955.

    No full text
    Documents regarding the double headstone for Emil E. Huff, (1897-1955), buried with Elsie E. Huff (1897), purchased by Mrs. Elsie Huff. The marker was placed at Forest Cemetery in Toledo, Ohio. The stone is made of Certified R. O. A. (Seal) with Sandblast letters

    Huff\u27s Model for Elliptic Curves

    No full text
    This paper revisits a model for elliptic curves over Q introduced by Huff in 1948 to study a diophantine problem. Huff\u27s model readily extends over fields of odd characteristic. Every elliptic curve over such a field and containing a copy of Z/4Z×Z/2Z is birationally equivalent to a Huff curve over the original field. This paper extends and generalizes Huff\u27s model. It presents fast explicit formulas for point addition and doubling on Huff curves. It also addresses the problem of the efficient evaluation of pairings over Huff curves. Remarkably, the formulas we obtain feature some useful properties, including completeness and independence of the curve parameters

    Application of Velusqrt algorithm to Huff\u27s and general Huff\u27s curves

    No full text
    In 2020 Bernstein, De Feo, Leroux, and Smith presented a new odd-degree \ell-isogeny computation method called Velusqrt. This method has complexity O~()\tilde{O}(\sqrt{\ell}), compared to the complexity of O~()\tilde{O}(\ell) of the classical Vélu method. In this paper application of the Velusqrt method to Huff\u27s and general Huff\u27s curves is presented. It is showed how to compute odd-degree isogeny on Huff\u27s and general Huff\u27s curves using Velusqrt algorithm and xx-line arithmetic for different compression functions

    Elliptic curves in Huff\u27s model

    No full text
    This paper introduce generalizes the Huff curves x(ay21)=y(bx21)x(ay^2-1)=y(bx^2-1) which contains Huff\u27s model ax(y21)=by(x21)ax(y^2-1)=by(x^2-1) as a special case. It is shown that every elliptic curve over the finite field with three points of order 22 is isomorphic to a general Huff curve. Some fast explicit formulae for general Huff curves in projective coordinates are presented. These explicit formulae for addition and doubling are almost as fast in the general case as they are for the Huff curves in \cite{Joye}. Finally, the number of isomorphism classes of general Huff curves defined over the finite field Fq\mathbb{F}_q is enumerated

    Pairings on Generalized Huff Curves

    No full text
    This paper presents the Tate pairing computation on generalized Huff curves proposed by Wu and Feng in \cite{Wu}. In fact, we extend the results of the Tate pairing computation on the standard Huff elliptic curves done previously by Joye, Tibouchi and Vergnaud in \cite{Joux}. We show that the addition step of the Miller loop can be performed in 1M+(k+15)m+2c1\mathbf{M}+(k+15)\mathbf{m}+2\mathbf{c} and the doubling one in 1M+1S+(k+12)m+5s+2c1\mathbf{M} + 1\mathbf{S} + (k + 12) \mathbf{m} + 5\mathbf{s} + 2\mathbf{c} on the generalized Huff curve

    Mr. and Mrs. James E. Huff

    No full text
    Mr. and Mrs. James E. Huff, celebrate 50th anniversary.https://mavmatrix.uta.edu/specialcollections_startelegram1950s/15188/thumbnail.jp
    corecore