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...C project title new constructions for hadamard matrices aims and background the aim of this is to study ways constructing using sums kronecker products understand structure class that can be obtained by construction thehadamard maximal determinant problem given n what largest possible an matrix r with elements s has many applications signal processing error correcting codes experimental design theory cryptography as described in more detail below established upper bound nn which only attainable if order equals or a multiple occurs when rows are orthogonal it famous open whether attaining exists each conjecture true known actually conjectured paley although all orders k not yet set such positive density best results direction due de launey gordon see also horadam seberry craigen kharaghani there been much work on number equivalence classes natural denition small sequence grows very rapidly dicult calculate requiring means at least implicitly generating complete xed algorithm decide gene...