تصوف کی حقیقت اور اس پرہونے والے چند اعتراضات کاعلمی جائزہ

Mysticism is the practice of religious ecstasies, together with whatever ideologies, ethics, rights, legends, and magic may be related to them. It may also refer to the attainment of insight in ultimate or hidden truth, and to human transformation supported by various practices and experiences. Sufism also known as Tasawwuf variously defined as Islamic mysticism. The inward dimension of Islam is mysticism in Islam characterized by particular values, ritual practices, doctrines and institutions which began very early in Islamic history and represents "the main manifestation and the most important and central crystallization of mystical practice in Islam. Practitioners of Sufism have been referred to as "Sufis". Sufis have been characterized by their asceticism, especially by their attachment to dhikr, the practice of remembrance of god, often performed after prayers. This article describes of the reality and fact of mysticism, its verbal and literal meanings, and its historical background and also describes its regional division and causes of Tasawwuf. It also analyses of the objections and its answers of which occurred on it.

On Error Correcting Codes and Their Applications

To expand the use of codes and provide a form of error-correction, it is useful to extend the use of binary streams into another representation. In this work, we have used different monoid rings for the construction of a new family of error correcting codes having better error correction capability. Initially we have constructed binary cyclic codes using monoid rings instead of polynomial ring. For an n length binary cyclic code, three di¤erent binary cyclic codes of length an; bn and abn are obtain. These codes are interleaved codes capable of correcting burst of errors alongwith random error correction. The BCH codes form a class of parameterized error-correcting codes which have been the subject of interest. Instead of primitive BCH codes we have showed the existence of non- primitive BCH codes of length bn over theelds F2, F4 andnite rings Z2m along with their applications. The value of b is investigated for which the existence of the non-primitive BCH code Cbn is assured. It is noticed that the code Cn is embedded in the code Cbn. Therefore, the data transmitted by the code Cn can also be transmitted by the code Cbn. The BCH codes Cbn have better error correction capability whereas the BCH code Cn has better code rate.