An extended cyclic code of length 2 m over GF(2) cannot be self-dual for even m. For odd m, the Reed-Muller code [2 m, 2 m1, 2(m + 1)/2] is affine-invariant and selfdual, and it is the only such code for m = 3 or 5. We describe the set of binary self-dual affine-invariant codes of length 2 m for m = 7 and m = 9. For each odd m, m >i 9, we exhibit a self-dual affine-invariant code of length 2 m ...

Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...

This paper presents an method of self-calibration of varying internal camera parameters that based on quasi-affine reconstruction. In a stratified approach to self-calibration, a projective reconstruction is obtained first and this is successively refined first to an affine and then to a Euclidean reconstruction. It has been observed that the difficult step is to obtain the affine reconstructio...