Cellulase production byAcidothermus cellulolyticus

Applied Biochemistry and Biotechnology - Acidothermus cellulolyticus, an isolate from hot springs at Yellowstone National Park, produced cellulase enzyme when grown in cellobiose-containing medium....     

Syntheses of Substituted Naphthalenes and Naphthols

Syntheses of substituted naphthalenes and naphthols are described. Based on Claisen rearrangement, ring‐closing metathesis (RCM), and related reactions, isovanillin was successfully transformed into a series of substituted naphthalenes and naphthols with good overall yields.     

Z4-Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets

When m is odd, spreads in an orthogonal vector space of type⁺(2m + 2,2) are related to binary Kerdock codes and extremalline-sets in 2^{m + 1} with prescribed angles. Spreads in a 2m-dimensionalbinary symplectic vector space are related to Kerdock codesover Z₄ and extremal line-sets in with prescribed angles. These connections involve binary, realand complex geometry associated with extraspecial 2-groups.A geometric map from symplectic to orthogonal spreads is shownto induce the Gray map from a corresponding Z₄-Kerdock codeto its binary image. These geometric considerations lead tothe construction, for any odd composite m, of large numbersof Z₄-Kerdock codes. They also produce new Z₄-linear Kerdockand Preparata codes. 1991 Mathematics Subject Classification:primary 94B60; secondary 51M15, 20C99.