Linear Block Codes

Various Construction Types/References

LabelConstruction
AAGS T. Abualrub, N. Aydin, A. Ghrayeb, and I. Siap
On the construction of skew QC codes
AckermanAydin codes found by Ryan Ackerman and Noah Aydin
AG_subfield  
AGu  
AmayaHarryVega James Amaya, April Harry, and Brian Vega
generalized toric variety code
ARS  
ASR  
AsAy T. Asamov and N. Aydin
Ayd  
Aydin codes found by Noah Aydin
Aydin_skew-cyclicskew-cyclic codes found by Noah Aydin
B2x  
Bae  
BB  
BCH BCH code
BDH  
BDK  
BE  
Be  
BE3  
BEc  
Bel  
BET  
BEx  
BGu  
BHJ  
BierbrauerEdel a large cap constructed by Bierbrauer & Edel
BJKS  
BKM  
BKW  
BMP  
BMYSTERY  
Bo0  
Bo1  
Bo2  
Bo3  
Bou  
Bou2  
Br2  
Bra  
BvE  
BY  
BZ  
CarbonaraMurilloOrtizAlejandro Carbonara, Juan Murillo, and Abner Ortiz
generalized toric variety code
CaD  
CDJ  
CG  
Ch  
Ch0  
ChD  
Chen  
CLC  
con  
CS  
cyc cyclic code
cyclic cyclic code
cyx Construction X with cyclic codes
CZ  
D1  
Da0  
Da4  
Da7  
Da8  
DaGu R. N. Daskalov and T. A. Gulliver, Bounds on the Minimum Distance for Linear Codes over GF(7)
DaH  
DaK  
Das  
Daskalov  
dB  
DG  
DG1  
DG2  
DG3  
DG4  
DG5  
DGM  
DHM  
Dis  
DJ  
DNX  
DP Iwan M. Duursma and Ruud Pellikaan, A symmetric Roos bound for linear codes, Journal of Combinatorial Theory Series A, vol. 113, no. 8, pp. 1677-1688, 2006
DOI: j.jcta.2006.03.020
Du  
Du1  
Du2  
Du3  
Dup  
DZ  
EB1  
EB2  
EB3  
Ed  
Ed2  
Edel a large cap constructed by Edel
ET  
LabelConstruction
FB  
Gab  
GAG Generalized AG Code
GaO  
GaOt  
GB  
GB0  
GB1  
GB4  
GB5  
GB6  
GB7  
GB8  
Gei  
GG  
GG1  
GH  
GHa  
Gl  
Glo  
GO  
Go  
GO2  
Gox  
Gp  
Gra  
GraAC  
GraAG  
GraB  
GraB2  
GraBCH BCH code found by M. Grassl
GraBZ  
GraCyc cyclic code found by M. Grassl
GraExp  
GraExt  
GraGo  
GraGox  
GraMaruta  
GraNC  
GraPlotkin (u|u+v) construction
GraPun special puncturing found by M. Grassl
GraQC quasicyclic code found by M. Grassl
GraQR  
GraQT quasitwisted cyclic code found by M. Grassl
Grassl127  
Grassl129  
GraX Construction X found by M. Grassl
mainly using cyclic & quasicyclic codes
GraX3 Construction X3 found by M. Grassl
mainly using cyclic & quasicyclic codes
GraX4  
GraXBZ  
GraXChain  
GraXX Construction XX found by M. Grassl
mainly using cyclic & quasicyclic codes
Gu  
Gu0  
Gu1  
Gu2  
Gu3  
Gu4  
Gu6  
Gu9  
GuB  
Gul  
Gulliver  
GulliverHarada Codes found by A. Gulliver and M. Harada
Ha  
Ham  
HanKim Codes found by S. Han and J.-L. Kim
HernandoRuano (u|u+v) construction
HernandoRuanoGrassl(u|u+v) construction
Hg  
HH2  
HHY  
Hi  
Hi1  
Hi4  
HN  
hov  
HP  
Hristov  
HristovGrassl codes found by P. Hristov and M. Grassl
HS  
HY2  
IltenSuessNathan Owen Ilten and Hendrik Süß
T-codes from toric varieties, see arXiv:0811.2696
IN  
Ja  
Ja2  
JanosovHusakFarkasMartin Janosov, Martin Husak, Peter Farkas, Bratislava, 2007-04-20
JS  
Ka  
LabelConstruction
Koh  
Kohnert code found by Axel Kohnert, Bayreuth
KohnertZwanzger code found by Axel Kohnert and Johannes Zwanzger, Bayreuth
KP  
KPc  
KPm  
KPq  
KSH  
LC  
Li1  
Liz  
LLX  
Lun  
LX  
Maruta  
Mas  
Me  
MG  
MMT  
Mo  
MOS  
MoY  
MP  
MPa  
MYI  
NBC  
ovo  
Pambianco  
PG  
Pi  
Pi2  
Ple  
Pun  
QC  
qc  
QR quadratic residue code
Rod  
RR  
Sa  
Sab  
Sh1  
Sia  
sim  
Sor  
Spasov  
spr  
SR  
SRC  
Su  
TjhaiTomlinson C. Tjhai & M. Tomlinson, Results on binary cyclic codes, Electronic Letters, vol. 43, no. 3, 2007, pp. 234-235.
To  
To2  
To5  
Tol  
TTH  
uni  
Var  
vDEGW Marten van Dijk, Sebastian Egner, Marcus Greferat, Alfred Wassermann. "On two doubly even self-dual binary codes of length 160 and minimum weight 24." IEEE Trans. Inform. Theory, vol. 51, no. 1, pp. 408-411, 2005. DOI: 10.1109/TIT.2004.839535
VE  
vE0  
vE1  
vEH  
vT1  
vT3  
Vx  
W  
Wa  
We  
X  
X3a  
X3u  
X6  
X6a  
X6u  
XB  
XBC extended BCH code
XBZ  
XingYeo Chaoping Xing and Sze Ling Yeo, New Linear Codes and Algebraic Function Fields over Finite Fields
XL  
XL2  
XQR extended quadratic residue code
XX  
YC  
Zi  
ZL  
Zwa code found by Johannes Zwanzger, Bayreuth

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This page is maintained by Markus Grassl (codes@codetables.de). Last change: 31.10.2009