# RT distance and weight distributions of Type 1 constacyclic codes of length 4 p

@inproceedings{Dinh2019RTDA, title={RT distance and weight distributions of Type 1 constacyclic codes of length 4 p}, author={Hai Quang Dinh and Bac Trong Nguyen and Songsak Sriboonchitta}, year={2019} }

For any odd prime p such that p ≡ 1 (mod 4) , the class of Λ -constacyclic codes of length 4p over the finite commutative chain ring Ra = Fpm [u] ⟨ua⟩ = Fpm + uFpm + · · · + u Fpm , for all units Λ of Ra that have the form Λ = Λ0+uΛ1+ · · ·+uΛa−1 , where Λ0,Λ1, . . . ,Λa−1 ∈ Fpm , Λ0 ̸=0, Λ1 ̸=0 , is investigated. If the unit Λ is a square, each Λ -constacyclic code of length 4p is expressed as a direct sum of a −λ -constacyclic code and a λ -constacyclic code of length 2p . In the main case…

## One Citation

### Constacyclic codes of length 4ps over the Galois ring GR(pa, m)

- MathematicsArXiv
- 2019

The Rosenbloom-Tsfasman (RT) distance, Hamming distance and weight distribution of Type (1) $\lambda$-constacyclic codes of length $4p^s$ are obtained when $\ lambda$ is not a square and the dual of the above code is self-orthogonal and self-dual.

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