A note on “H. Q. Dinh et al., Hamming distance of repeated-root constacyclic codes of length $$2p^{s}$$ over $${\mathbb{F}}_{p^{m}}+ u{\mathbb{F}}_{p^{m}}$$”

Laaouine, Jamal; Charkani, Mohammed Elhassani

doi:10.1007/s00200-021-00492-w

Cited by 4 publications

(2 citation statements)

References 5 publications

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“…Osteochondromas have been reported in other studies, in particular after treatment involving radiotherapy for leukemia and neuroblastoma. [30][31][32][33] Herein we report on 21 cases, of whom 11 had received hematopoietic cell transplant, all including TBI. There appeared to be no association with other radiotherapy.…”

Section: Discussionmentioning

confidence: 99%

Incidence of and Risk Factors for Histologically Confirmed Solid Benign Tumors Among Long-term Survivors of Childhood Cancer

et al. 2019

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for the DCOG-LATER Study Group IMPORTANCE Survivors of childhood cancer (CCSs) face risk of developing subsequent tumors. Solid benign tumors may be cancer precursors; benign tumors and cancers may share etiologic factors. However, comprehensive data on the risk for solid benign tumors are lacking. OBJECTIVE To quantify the incidence of and treatment-related risk factors for histologically confirmed solid nonskin benign tumors among CCSs. DESIGN, SETTING, AND PARTICIPANTS This record linkage study involves the Dutch Childhood Oncology Group-Long-Term Effects After Childhood Cancer (DCOG-LATER) cohort of 6165 individuals diagnosed with childhood cancer at younger than 18 years from January 1, 1963, through December 31, 2001, in 7 Dutch pediatric centers and who survived at least 5 years after the diagnosis. Study groups eligible for record linkage from 1990 onward included 5843 CCSs (94.8%) and 883 siblings. Benign tumors were identified from the population-based Dutch histopathology and cytopathology registry (PALGA). Follow-up was completed on May

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Section: Discussionmentioning

confidence: 99%

Incidence of and Risk Factors for Histologically Confirmed Solid Benign Tumors Among Long-term Survivors of Childhood Cancer

et al. 2019

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“…However, to fully determine codes over Frobenius rings, it is essential to consider local rings which are not chains, even though this imposes challenges, since the rings are not PIRs. We recommend references [5][6][7][8][9][10][11][12][13][14][15] to readers.…”

Section: Introductionmentioning

confidence: 99%

On Linear Codes over Finite Singleton Local Rings

Alabiad,

Alhomaidhi,

Alsarori

2024

Mathematics

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The study of linear codes over local rings, particularly non-chain rings, imposes difficulties that differ from those encountered in codes over chain rings, and this stems from the fact that local non-chain rings are not principal ideal rings. In this paper, we present and successfully establish a new approach for linear codes of any finite length over local rings that are not necessarily chains. The main focus of this study is to produce generating characters, MacWilliams identities and generator matrices for codes over singleton local Frobenius rings of order 32. To do so, we first start by characterizing all singleton local rings of order 32 up to isomorphism. These rings happen to have strong connections to linear binary codes and Z4 codes, which play a significant role in coding theory.

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MDS symbol-pair repeated-root constacylic codes of prime power lengths over $$\mathbb {F}_{q}+ u\mathbb {F}_{q} + u^{2}\mathbb {F}_{q} $$

Laaouine

Dinh

Charkani

et al. 2022

J. Appl. Math. Comput.

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A note on “H. Q. Dinh et al., Hamming distance of repeated-root constacyclic codes of length $$2p^{s}$$ over $${\mathbb{F}}_{p^{m}}+ u{\mathbb{F}}_{p^{m}}$$”

Cited by 4 publications

References 5 publications

Incidence of and Risk Factors for Histologically Confirmed Solid Benign Tumors Among Long-term Survivors of Childhood Cancer

Incidence of and Risk Factors for Histologically Confirmed Solid Benign Tumors Among Long-term Survivors of Childhood Cancer

On Linear Codes over Finite Singleton Local Rings

MDS symbol-pair repeated-root constacylic codes of prime power lengths over $$\mathbb {F}_{q}+ u\mathbb {F}_{q} + u^{2}\mathbb {F}_{q} $$

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