Generator Matrix Based Search for Extremal Self-Dual Binary Error-Correcting Codes

Self-dual doubly even linear binary error-correcting codes, often referred to as Type II codes, are codes closely related to many combinatorial structures such as 5-designs. Extremal codes are codes that have the largest possible minimum distance for a given length and dimension. The existence of an extremal (72,36,16) Type II code is still open. Previous results show that the automorphism group of a putative code C with the aforementioned properties has order 5 or dividing 24. In this work, we present a method and the results of an exhaustive search showing that such a code C cannot admit an automorphism group Z6. In addition, we present so far unpublished construction of the extended Golay code by P. Becker. We generalize the notion and provide example of another Type II code that can be obtained in this fashion. Consequently, we relate Becker's construction to the construction of binary Type II codes from codes over GF(2^r) via the Gray map.

Stelco records, 1951-1989

The Steel Company of Canada (Stelco) was formed in 1910 with the incorporation of the Canada Screw Co. Ltd., the Montreal Rolling Mills Co., the Dominion Wire Manufacturing Co. Ltd., the Hamilton Steel and Iron Co. Ltd., and the Canada Bolt and Nut Co. Ltd. By the 1920s, the company was the largest producer of steel ingots in Canada. The 1930s saw continued success and expansion of the company as Stelco increased its iron and steel capacity by 50 percent. The company continued to prosper throughout the next several decades, with sales revenues exceeding one billion dollars in 1974. In 1980, the company officially changed its name to Stelco, in order to simplify its name in both the French and English language. The company began to experience financial difficulties beginning with the recession in 1982. The troubles persisted for the next 25 years as a result of a decreased demand for steel, labour disputes, and high steel imports. In 2004, Stelco entered bankruptcy protection. By 2007, Stelco had lost $240 million in its first four quarters after emerging from bankruptcy protection. That same year Stelco was purchased by the United States Steel Corp. Despite efforts to restructure the company, bankruptcy was again declared in 2014.

License of Occupation

License of occupation. This is a 2 ½ page handwritten document which states “By General Sir Peregrine Maitland, commanding his Majesty’s Forces in North America” license and permission is granted to Robert Hamilton of the Township of Niagara for water Lot no. 7 on the Niagara River. This section is signed by P. Maitland on March 15, 1825. The second half of the document states that Robert Hamilton of Queenston grants the land to Robert Melville, president of the Niagara Harbour and Dock Co. Sept. 15, 1832.

Letter to S. D. Woodruff regarding Church Pew

Letter to S.D. Woodruff regarding the pew formerly occupied by Mrs. Helliwell which will be rented after July 1st and “you will be relieved of your rent as requested”. This is signed by P. H. Guiton, church warden, July 5, 1881.