Dongryul M. Kim

activity

20162026

most cited50 Years of the Golomb--Welch Conjecture

19 citations · 49 across the 29 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

cs.IT2017★ 19 cited

50 Years of the Golomb--Welch Conjecture

Peter Horak, Dongryul Kim

Since 1968, when the Golomb--Welch conjecture was raised, it has become the main motive power behind the progress in the area of the perfect Lee codes. Although there is a vast lit…

math.CO2017★ 19 cited

Nonexistence of perfect $2$ -error-correcting Lee codes in certain dimensions

Dongryul Kim

The Golomb--Welch conjecture states that there are no perfect $e$ -error-correcting codes in $Z^{n}$ for $n \geq 3$ and $e \geq 2$ . In this note, we prove the nonexistence of p…

50 Years of the Golomb--Welch Conjecture

Nonexistence of perfect 2-error-correcting Lee codes in certain dimensions

Nonexistence of perfect $2$ -error-correcting Lee codes in certain dimensions