![]() This groundbreaking result came-with the help of a computer-after a series of papers analyzed the binary linear code coming from a putative projective plane of order 10.Ī very important class of codes which was sensibly influenced by geometric constructions is given by low-density parity-check (LDPC) codes, which were introduced by Gallager in his seminal 1962 paper. ![]() The most striking example is certainly the non-existence proof of a finite projective plane of order 10 shown in. The relations between these two research areas had also a strong impact in the opposite direction. Generalizations of these constructions have been studied since the 70’s and are still the subject of active research (see ). Their idea was to use the incidence matrix of the plane as a generator matrix or as a parity-check matrix of a linear code, showing that the underlying geometry can be translated in metric properties of the corresponding codes. Let's try the suggestion from this answer, and factor out the string input into a separate function: #include įprintf(stderr, "\nError: %s.The close interplay between coding theory and finite geometry has emerged multiple times in the last 60 years, starting from the works of Prange and Rudolph, where they proposed to construct linear codes starting from projective planes. ![]() One thing I don't particularly like is the bug-prone repetition of buf length in both the variable declaration and in scanf's format string. This helps with initialization at the point of declaration: #include įor (const char *bitp = bits *bitp != '\0' bitp)Ĭhar result = (ones%2=0) ? '0' /*even*/ : '1' /*odd*/ This entire expression becomes value_if_true if condition evaluated to true, or value_if_false if the condition evaluated to false. The result variable can be initialized using the ternary operator expression, of the form: condition ? value_if_true : value_if_false. In onlinegdb, you can trigger this error condition by pressing ^D in the console window after you Run the program:įinally, it would be a good idea to leverage more modern C features: you should declare and initialize the variables close to the point of use, so that they are easier to keep track of. This can be triggered on windows by pressing Ctrl-Z then Enter (this closes the input stream to the console process), or by pressing Ctrl-D on Unix. We should now test if we handle another input error condition - if there's a premature end of input stream. Printf("The result is: %s%c", bits, result) Printf("Enter one or more binary bits: ") You need to add a terminating newline ( \n) in the printf of the output.įprintf(stderr, "\nError: %s.\n", message). ![]() ![]()
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