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A note on orthogonal circulant matrices over finite fields

โœ Scribed by Dieter Jungnickel; Thomas Beth; Willi Geiselmann

Publisher
Springer
Year
1994
Tongue
English
Weight
481 KB
Volume
62
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES

On the ranks of Toeplitz matrices over f
On the ranks of Toeplitz matrices over finite fields
โœ Geoffrey L. Price; Glenn H. Truitt ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 220 KB

Let T be a skew-symmetric Toeplitz matrix with entries in a ยฎnite ยฎeld. For all positive integers n let n be the upper n ร‚ n corner of T, with nullity m n m n . The sequence fm n X n P Ng satisยฎes a unimodality property and is eventually periodic if the entries of T satisfy a periodicity condition.

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โœ John D. Fulton ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 657 KB

For a given m X n matrix A of rank I ov+r a finite field F, the number of generalized invers:s, of reflexive generalized inverses, of normalized generalized inverses, and of pseudoinverses of A are derermined by elementary methods. The more dticult problem of determining which m X n matrices A of ra