ch7
... We obtain the transpose of a matrix by writing its rows as columns (or equivalently its columns as rows). This also applies to the transpose of vectors. Thus, a row vector becomes a column vector and vice versa. In addition, for square matrices, we can also “reflect” the elements along the main diag ...
... We obtain the transpose of a matrix by writing its rows as columns (or equivalently its columns as rows). This also applies to the transpose of vectors. Thus, a row vector becomes a column vector and vice versa. In addition, for square matrices, we can also “reflect” the elements along the main diag ...
Constructions of Self-Dual and Formally Self
... Self-dual codes over fields and rings are one of the most important and widely studied families of codes. They have interesting connections to groups, designs, lattices and other objects as well. As such, constructions of interesting self-dual codes are an important area of study in coding theory. I ...
... Self-dual codes over fields and rings are one of the most important and widely studied families of codes. They have interesting connections to groups, designs, lattices and other objects as well. As such, constructions of interesting self-dual codes are an important area of study in coding theory. I ...
Full text
... Integer representations by forms are sources of a series of very interesting Diophantine equations. For instance, the cubic form x3 +y3+z3 represents 1 and 2 in an infinite number of ways, whereas only two representations (1,1,1) and (4,4, -5) are known for the number 3 and it is unknown whether the ...
... Integer representations by forms are sources of a series of very interesting Diophantine equations. For instance, the cubic form x3 +y3+z3 represents 1 and 2 in an infinite number of ways, whereas only two representations (1,1,1) and (4,4, -5) are known for the number 3 and it is unknown whether the ...
