The equivalence of linear codes implies semi-linear equivalence
نویسندگان
چکیده
We prove that if two linear codes are equivalent then they semi-linearly equivalent. also additive MDS over a field additively
منابع مشابه
Equivalence of Linear Codes with the Same Weight Enumerator
Two equivalent linear codes have the same weight enumerator but the converse does not hold. We investigate which code is unique up to equivalence in view of the weight enumerator. The main purpose of this paper is to investigate the weight enumerators associated to the only one equivalent class of linear codes and to construct these codes. Furthermore, we construct non-equivalent linear codes w...
متن کاملEdge local complementation and equivalence of binary linear codes
Orbits of graphs under the operation edge local complementation (ELC) are defined. We show that the ELC orbit of a bipartite graph corresponds to the equivalence class of a binary linear code. The information sets and the minimum distance of a code can be derived from the corresponding ELC orbit. By extending earlier results on local complementation (LC) orbits, we classify the ELC orbits of al...
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولCertainty Equivalence Implies Detectability
It is shown that any stabilizing, certainty equivalence control used within an adaptive control system, causes the familiar interconnection of a controlled process and associated output estimator to be detectable through the estimator's output error e p , for every frozen value of the index or parameter vector p upon which both the estimator and controller dynamics depend. The fact that certain...
متن کاملLinear equivalence of ideal topologies
It is proved that whenever P is a prime ideal in a commutative Noethe-rian ring such that the P-adic and the P-symbolic topologies are equivalent, then the two topologies are equivalent linearly. Several explicit examples are calculated, in particular for all prime ideals corresponding to non-torsion points on nonsingular elliptic cubic curves. There are many examples of prime ideals P in commu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2022
ISSN: ['0925-1022', '1573-7586']
DOI: https://doi.org/10.1007/s10623-022-01055-x