# Normal basis

## Papers overview

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2010

2010

- WAIFI
- 2010

Gaussian normal bases have been included in a number of standards, such as IEEE [1] and NIST [2] for elliptic curve digital… (More)

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2005

2005

- IEEE Transactions on Computers
- 2005

For efficient hardware implementation of finite field arithmetic units, the use of a normal basis is advantageous. In this paper… (More)

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2004

2004

- ACM Trans. Embedded Comput. Syst.
- 2004

In this article, two digit-serial architectures for normal basis multipliers over (GF(2m)) are presented. These two structures… (More)

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2003

2003

- IEEE Trans. Computers
- 2003

In cryptographic applications, the use of normal bases to represent elements of the finite field GFð2Þ is quite advantageous… (More)

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Highly Cited

2001

Highly Cited

2001

- IEEE Trans. Computers
- 2001

ÐThis paper presents a new parallel multiplier for the Galois field GF
2m whose elements are represented using the optimal… (More)

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2001

2001

- Selected Areas in Cryptography
- 2001

For cryptographic applications, normal bases have received considerable attention, especially for hardware implementation. In… (More)

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1999

1999

- CHES
- 1999

Bit-parallel finite field multiplication in F2m using polynomial basis can be realized in two steps: polynomial multiplication… (More)

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Highly Cited

1998

Highly Cited

1998

- IEEE Trans. Computers
- 1998

We present a new low-complexity bit-parallel canonical basis multiplier for the field GF(2 m ) generated by an all-onepolynomial… (More)

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1994

1994

- ANTS
- 1994

In this paper we give some experimental results on the multiplicative orders of optimal normal basis generators in F2n over F2… (More)

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Highly Cited

1989

Highly Cited

1989

- Discrete Applied Mathematics
- 1989

A normal basis in GF(qm) is a basis of the form {a p9, fig’, . . . , flqm-‘], i.e., a basis of conjugate elements in the field… (More)

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