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Peer-Review Record

Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths over \({{\mathbb{F}_{p^m}[u]}/{\langle u^3\rangle}}\)

Mathematics 2021, 9(20), 2554; https://doi.org/10.3390/math9202554
by Mohammed E. Charkani 1, Hai Q. Dinh 2, Jamal Laaouine 1,* and Woraphon Yamaka 3
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Mathematics 2021, 9(20), 2554; https://doi.org/10.3390/math9202554
Submission received: 6 August 2021 / Revised: 19 September 2021 / Accepted: 28 September 2021 / Published: 12 October 2021

Round 1

Reviewer 1 Report

See the attached file.

Comments for author File: Comments.pdf

Author Response

Please see the attachment

Author Response File: Author Response.pdf

Reviewer 2 Report

The authors determine all symbol-pair distance of γ-constacyclic codes with length ps over  R=F+uF+u2F (u3=0), where F is the finite field of pm elements and γ∈F. The obtained results are strongly based on results of two of the authors presented in another paper ([27]).

Sufficiently many new interesting results are obtained and I recommend paper to  be published. I have only few remarks.

On  page 7, the second row the word "the" is repeated.

In Example 1 the second sentence is strange in my opinion - γ is nonzero element of F, thus it is unity. No need to list elements of F.

More detail explanations (e.g. inequalities) in the proofs will facilitate reading and increase interest to the subject.

Author Response

Please see the attachment

Author Response File: Author Response.pdf

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