Details for entry \(A_7(18,4;9)\)

Go to API

Lower bounds

CKMP2019_Cor_45 (

(9,),(5,),(4,)

) : 7035152762324593144409193941765726945128970821898343117345945
CossidentePavese14_theorem311 ( ) : 7035152762324593144409193941765349469170908750653095567348446
CKMP2019_Cor_42 ( (9, 9) ) : 7035152762324593144409193941765348126436705157116660399720002
CKMP2019_Lem_41 ( (9, 9) ) : 7035152762324593144409193941765348126436705157116660399720002
LiuChangFeng2019_Theo_2_6 ( ) : 7035152762324593144409193941765348126436705157116660399720002
generalized_linkage ( 9,0 ) : 7035152762324593144409193941765348126436705157116660399720002
generalized_linkage_multipleblocks (

[9, 9],[0, 0]

) : 7035152762324593144409193941765348126436705157116660399720002
ChenHeWengXu2019_T31 ( ) : 7035152762324593144409193941765348126436705157116660399720001
ChenHeWengXu2019_T41 ( ) : 7035152762324593144409193941765348126436705157116660399720001
XuChen2018 ( ) : 7035152762324593144409193941765348126436705157116660399720001
two_pivot_block_construction ( ) : 7034606344083088763175469579738972809092322637085617082597376
improved_linkage ( 9 ) : 7031676478883557600243028555029441257736657268361058780203365
multicomponent ( ) : 7031676478883557598109118137916098281402749166051337438864101
linkage_GLT ( 9 ) : 7031676478883553279994550741476882515263791803223057265323202
LMRD ( ) : 7031676478883553279994550741476882515263791803223057265323201
HKK_lemma_2_4_lower_bound ( ) : 1004953529235800717656159993912842505344642090564056747066758
JohnsonLB ( ) : 1004953525674504094475148576288714841313092648734039015512135
graham_sloane ( ) : 1249420075574901929205229152021472688459473002631049227
sphere_covering ( ) : 1070931546427275375676893223508668347900627185249896219
trivial_1 ( ) : 0

Upper bounds

Ahlswede_Aydinian ( 0, 17 ) : 7202657055661137090060960441539646253763370425311910497965552
ilp_4 ( 17 ) : 7202657055661137090060960441539646253763370425311910497965552
johnson_2 ( ) : 7202657055661137090060960441539646253763370425311910497965552
ilp_1 ( 1 ) : 7202657055661137090060960441539646255011907073791326480513504
improved_johnson ( ) : 7202657055661137090060960441539646255011907073791326480513504
johnson_1 ( ) : 7202657055661137090060960441539646255011907073791326480513504
anticode ( ) : 7202658126592634772822094721352678068455741606080004611164606
ilp_2 ( 8 ) : 7202658126592634772822094721352678068455741606080004611164606
ilp_3 ( 10 ) : 7202658126592634772822094721352678068455741606080004611164606
linear_programming_bound ( ) : 7202658126592634772822094721352678068455741606080004611164606
singleton ( ) : 8403100909706635989964618390064768734975720085968387305788806
all_subs ( ) : 339095440094744983737724144382264772141866097866894601729977608112048
sphere_packing ( ) : 339095440094744983737724144382264772141866097866894601729977608112048

Bound for codes containing the lifted MRD code

(see EtzionSilberstein2012, Heinlein2018, and Kurz2019 for details)
7035247488648116278161161578065991267677372265937535759709205

Do you have better bounds?

You are welcome to contribute more information, clarifications, corrections and feature requests. If you want to contact us, press the “Contribute” button in the upper right corner or visit the About page. The preferred syntax for codes is GAP but feel free to submit any data in any format.