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The article states that using both Sylvester's and Paley's constructions, one cannot get Hadamard matrix of size 92 (As the first example of numbers divisible by 4 of course). Is that correct? why is that? If I can use primes like 2,3,5 I can also use 23. Can I construct those matrices without using any primes, and only starting with 1? @DenisSerre
