Abstract: The technique developed by Tomba (July 2012) for finding (n x n) magic squares (when n is divisible by 4) using basic Latin squares is re-discussed. The steps include fixing the column associated with the elements, adjacent to the pivot element and arranging in an orderly manner, making symmetric transformations that generates a magic parametric constant (T) and finally derived with minor adjustment on the pair-numbers of satisfying T [12]. Nordgren’s method can be applied so as to avoid symmetric transformation, adjustment on the pair numbers satisfying T and thereby shortening in 3 steps only. The improved technique for construction of doubly-even magic squares needs three steps with no symmetric transformation, minor adjustments etc. on the pair numbers satisfying T. As such, lot of labour and time is saved with the use of this improved technique.