New extremal doubly even binary codes of lengths 80 and 88 are also found by the F2+uF2-lifts of binary four circulant codes and thus a lower bound on the number of non-isomorphic 3- 80, 16, 665) designs is modified.
The traditional method, where each of the f i is replaced by a binary code of some length q, requires qT binary digits (bits) to be transmitted.
Pneumatic cylinder has only 'min/max' length, which correspond to the binary codes of '0/1'.
The distributor generates a fingerprinting code (mathcal {X}) of n binary code words of length ℓ.1 The parameter ℓ is referred to as the code length, and the distributor would like ℓ to be as small as possible.
An F2+uF2-extension is used and as binary images, 178 extremal binary self-dual codes of length 68 with new weight enumerators are obtained.
But, there does exist a binary cyclic code of length (n+1)n such that the length n binary BCH code is embedded in it.
Here, t is the error correcting capability of binary BCH code of length n and m=⌊log2n+1⌋.
The existence of an extremal self-dual binary linear code of length 120 is a long-standing open problem.
Inverse code is simply inverted binary code of a number.
The enumeration of binary cyclic self-orthogonal codes of length 63 is used to prove that any cyclic quasi-symmetric 2- 63,15,35) design with block intersection numbers x="3 and y= 7 is isomorphic to the geometric design having as blocks the three-dimensional subspaces in PG 5,2).
