BCH code Wikipedia ~ Definition and illustration Primitive narrowsense BCH codes Given a prime number q and prime power q m with positive integers m and d such that d ≤ q m − 1 a primitive narrowsense BCH code over the finite field or Galois field GFq with code length n q m − 1 and distance at least d is constructed by the following method Let α be a primitive element of GFq m

TalkBCH code Wikipedia ~ TalkBCH code Jump to navigation Jump to search The observation that a BCH is a cyclic block code is of little help and even seems to be a bit of a put down or an attempt at witty repartee rather than a genuine attempt to be helpful or to understand the problem There most certenly is a helpful intuitive level of explination between

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Gilbert–Varshamov bound for linear codes Wikipedia ~ Gilbert–Varshamov bound theorem Theorem Let ⩾For every ⩽ − and ⩽ − there exists a code with rate ⩾ − − and relative distance Here is the qary entropy function defined as follows ⁡ − − ⁡ − − ⁡ −The above result was proved by Edgar Gilbert for general code using the greedy method as linear code Rom Varshamov proved using the

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Derivative of the exponential map Wikipedia ~ The inverse function theorem together with the derivative of the exponential map provides information about the local behavior of exp Any C k 0 ≤ k ≤ ∞ ω map f between vector spaces here first considering matrix Lie groups has a C k inverse such that f is a C k bijection in an open set around a point x in the domain provided df x is

Baker–Campbell–Hausdorff formula Wikipedia ~ In mathematics the Baker–Campbell–Hausdorff formula is the solution for to the equation for possibly noncommutative X and Y in the Lie algebra of a Lie are various ways of writing the formula but all ultimately yield an expression for in Lie algebraic terms that is as a formal series not necessarily convergent in and and iterated commutators thereof

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BCK algebra Wikipedia ~ The subsets of a set form a BCKalgebra where AB is the difference AB the elements in A but not in B and 0 is the empty set A Boolean algebra is a BCK algebra if AB is defined to be A∧¬B A does not imply B The bounded commutative BCKalgebras are precisely the MValgebras References