@ARTICLE{ iet:/content/journals/10.1049/el.2017.0194, author = {A. Qureshi}, affiliation = { Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan }, author = {T. Shah}, affiliation = { Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan }, keywords = {linear fractional transformation;Galois field;statistical attacks;nonlinearity;substitution box;algebraic attacks;approximation probabilities;constrained linear fractional transformation;image encryption applications;}, ISSN = {0013-5194}, language = {English}, abstract = {The erection of a substitution box based on linear fractional transformation applied on the subgroup of multiplicative part of Galois field GF(28) is studied. The establishment of constrained linear fractional transformation on the elements of the subgroup is intricacy of the problem. The robustness of the proposed substitution box against renowned algebraic and statistical attacks is gauged to enumerate its confusion creating ability. The analysis is accomplished by finding non-linearity, approximation probabilities and strict avalanche criterion. The majority logic criterion is employed to guesstimate the efficacy of substitution box in image encryption applications.}, title = {S-box on subgroup of Galois field based on linear fractional transformation}, journal = {Electronics Letters}, issue = {9}, volume = {53}, year = {2017}, month = {April}, pages = {604-606(2)}, publisher ={Institution of Engineering and Technology}, copyright = {© The Institution of Engineering and Technology}, url = {https://digital-library.theiet.org/;jsessionid=2lo33wb5nxp2o.x-iet-live-01content/journals/10.1049/el.2017.0194} }