There is another coordinates system with which a Hessian curve can be represented; these new coordinates are called extended coordinates. They can speed up the addition and doubling. To have more information about operations with the extended coordinates see:
http://hyperelliptic.org/EFD/g1p/auto-hessian-extended.html#addition-add-20080225-hwcd
and are represented by satisfying the following equations:
Read more about this topic: Hessian Form Of An Elliptic Curve
Famous quotes containing the word extended:
“Crotchless trouser allows wearer to show private parts in public. Neoprene-coated nylon pack cloth is stain resistant, water repellent and tickles thighs when walking. Tan-olive shade goes with most fetishes. Adjustable straps attach to belt for good fit and easy up-down. Pant is suitable for fast exposures as well as extended engagements. One size fits all.”
—Alfred Gingold, U.S. humorist. Items From Our Catalogue, “Flasher’s Pants,” Avon Books (1982)