#ifndef FIELDELEMENTGF2K_H
#define FIELDELEMENTGF2K_H

// Abstract base class defining the interface for a field element, plus
// associated operations required for implementing elliptic curve arithmetic
// operations.

template<class FieldElementGF2kNB>
class FieldElementGF2k
{
	public:
		// Virtual destructor
		~FieldElementGF2k()
		{
		}

		// Add the current field element to another field element. For the
		// benefit of chained expressions, the method must return *this.
		virtual FieldElementGF2k& add(const FieldElement& arg) = 0;

		// Multiply the current field element by another field element. For
		// the benefit of chained expressions, the method must return *this.
		virtual FieldElementGF2k& multiply(const FieldElement& arg) = 0;

		// Square the current field element. For the benefit of chained
		// expressions, the method must return *this.
		virtual FieldElementGF2k& square() = 0;

		// Invert the current field element. For the benefit of chained
		// expressions, the method must return *this.
		virtual FieldElementGF2k& invert(const FieldElement& arg) = 0;

		// Outputs a normal basis representation of the current point. If
		// the class doesn't implement normal basis arithmetic, then this
		// function convert from its internal representation (typically a
		// polynomial basis) to normal basis.
		virtual FieldElementGF2kNB& normalBasisRepresentation() = 0;
};

#endif // FIELDELEMENTGF2K_H