Wing sequence construction from half butterfly method

The investigation of existence Wing sequence in Half Butterfly Method (HBM) is motivated by the used of sequences such as Fibonacci, Catalan and Lucas sequences for key generation to encrypt and decrypt data. In 2017, Half Butterfly Method (HBM) a work for decomposition complete graph in distinct circuits based on wings movement was introduced. The hidden idea for series of movement in HBM is an eye opener to unravel the hidden pattern associated with the flip-flops of the wings movement. Thus, this paper oriented to construct a new sequence, Wing sequence based on the hidden patterns of the associate iteration for the flip-flops of the wings movement in HBM. The sequence is constructed by fixing one element and creating direction from one element to another element. The total directions of each element will generate a set of series sequence that is called as the Wing sequence.