The moral education of college soccer Civics is integrated into the educational concept of physical education from the perspective of moral education. In order to promote the deep integration of multimedia and curriculum Civics teaching, this paper proposes a new hash algorithm framework from the perspective of the approximation relationship and local linear structure. The local linear structure of the original data space is found utilizing sparse coding, multimedia is used to promote the effective penetration of curriculum Civics in various subject courses, and multimedia technology is applied to the teaching practice of the experimental group of college soccer courses. The results show that 69.57% of students who often watch soccer matches, 60.87% of students who often browse the content of public platforms are interested in soccer, 82.61% of students use media tools to communicate with others, while only 12.48% of students are interested in learning soccer by using traditional means of teaching. This shows that multimedia teaching tools in college courses are better than traditional ones. The practical path of infiltrating the Civics element into teaching fully plays the role of modern information technology.