Optimal normal bases Shuhong Gao and Hendrik W. Lenstra, Jr. Let
... The normal basis (σα)σ∈G is called optimal if we have equality here. The argument just given and the notion of an optimal normal basis are due to Mullin, Onyszchuk, Vanstone and Wilson [2]. They give several examples of optimal normal bases, and they formulate a conjecture that describes all finite ...
... The normal basis (σα)σ∈G is called optimal if we have equality here. The argument just given and the notion of an optimal normal basis are due to Mullin, Onyszchuk, Vanstone and Wilson [2]. They give several examples of optimal normal bases, and they formulate a conjecture that describes all finite ...
Note Page for Lesson 5.4
... The Fundamental Theorem of Algebra: If f(x) is a polynomial of degree n, where n > 0, then f has at least one zero in the complex number system. (Remember: Real numbers are a subset of the Complex Numbers!) The Linear Factorization Theorem: If f(x) is a polynomial of degree n, where n > 0, then f ha ...
... The Fundamental Theorem of Algebra: If f(x) is a polynomial of degree n, where n > 0, then f has at least one zero in the complex number system. (Remember: Real numbers are a subset of the Complex Numbers!) The Linear Factorization Theorem: If f(x) is a polynomial of degree n, where n > 0, then f ha ...
Notes 1
... they are both sets of three points in A2 , their equations look very different. Try to answer the questions: Can Γ1 be defined by equations of degree at most two? Did we need three equations to define Γ2 ? Could we have done it with two? What is special about the three equations given in the example ...
... they are both sets of three points in A2 , their equations look very different. Try to answer the questions: Can Γ1 be defined by equations of degree at most two? Did we need three equations to define Γ2 ? Could we have done it with two? What is special about the three equations given in the example ...
Unit 9 – Polynomials Algebra I Essential Questions Enduring
... 1. The properties of integers apply to polynomials. 2. Factors are a subset of a product and with the distributive property allow options in solving polynomials. 3. Multiplying and factoring polynomials are related. 4. Solving polynomials involves the reversal of operations, the distributive propert ...
... 1. The properties of integers apply to polynomials. 2. Factors are a subset of a product and with the distributive property allow options in solving polynomials. 3. Multiplying and factoring polynomials are related. 4. Solving polynomials involves the reversal of operations, the distributive propert ...
