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A generator matrix for a linear [,,]-code has format , where n is the length of a codeword, k is the number of information bits (the dimension of C as a vector subspace), d is the minimum distance of the code, and q is size of the finite field, that is, the number of symbols in the alphabet (thus, q = 2 indicates a binary code, etc.).
Center, from S. M. Stirling and David Drake's The General series, an AI tasked to indirectly unite planet Bellevue and restore its civilization, with the eventual goal of restoration of FTL travel and of civilization to the collapsed interplanetary federation; also Sector Command and Control Unit AZ12-b14-c000 Mk.
August 24, 1995. Office 95 (7.0) Word, Excel, PowerPoint, Schedule+, Binder, Access, Bookshelf. The first Office version to have the same version number (7.0, inherited from Word 6.0) for all major component products (Word, Excel and so on). First fully 32-bit version.
Traditional Reed–Muller codes are binary codes, which means that messages and codewords are binary strings. When r and m are integers with 0 ≤ r ≤ m, the Reed–Muller code with parameters r and m is denoted as RM ( r , m ). When asked to encode a message consisting of k bits, where holds, the RM ( r , m) code produces a codeword ...
Mathematical definition. In mathematical terms, the extended binary Golay code G24 consists of a 12-dimensional linear subspace W of the space V = F24. 2 of 24-bit words such that any two distinct elements of W differ in at least 8 coordinates. W is called a linear code because it is a vector space. In all, W comprises 4096 = 212 elements.
Microsoft Office 2021 (third release codenamed Office 16) is a version of the Microsoft Office suite of applications for the Microsoft Windows and macOS operating systems. It was released on October 5, 2021. [ 6] A successor, Microsoft Office 2024 is expected to be rolled out in the second half of 2024. [ 7]
Microsoft Office 1.5 for Mac was released in 1991 and included the updated Excel 3.0, the first application to support Apple's System 7 operating system. [166] Microsoft Office 3.0 for Mac was released in 1992 and included Word 5.0, Excel 4.0, PowerPoint 3.0 and Mail Client. Excel 4.0 was the first application to support new AppleScript. [166]
Barcode. A UPC-A barcode. A barcode or bar code is a method of representing data in a visual, machine-readable form. Initially, barcodes represented data by varying the widths, spacings and sizes of parallel lines. These barcodes, now commonly referred to as linear or one-dimensional (1D), can be scanned by special optical scanners, called ...