On the ranks of skew-centrosymmetric matrices over finite fields
โ Scribed by Kristen W. Culler; Geoffrey L. Price
- Book ID
- 107826772
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 540 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
Let M be a random n = n -matrix over GF q such that for each entry M in i j w x ลฝ . M and for each nonzero field element โฃ the probability Pr M s โฃ is pr q y 1 , where i j ## ลฝ . p slog n y c rn and c is an arbitrary but fixed positive constant. The probability for a ลฝ . matrix entry to be zero