Details for entry \(A_8(19,4;8)\)

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Lower bounds

EF_Kurz2020_special ( ) : 3451730488158872567254861778301003471443124750791181363571603492943432
construction_ST_B_recursive ( ) : 3451716083256241741361306090066607755463169548983834979971097956455049
LiuChangFeng2019_Theo_3_14 ( ) : 3451716083255456912035660881148982087678438726410982211446204291350528
construction_ST_B ( ) : 3451716083255456912035660673571297296113995923266532796244929196064768
LiuChangFeng2019_Theo_3_12 ( ) : 3451715881198986273129819877761039475352063138819656495779619645947904
two_pivot_block_construction ( ) : 3451715877466929090209136917952683091514797303492668668137469263216640
CKMP2019_Cor_45 (

(11,),(5,),(4,)

) : 3450873203245531910200270749104964867908231634970990129632498476384256
CKMP2019_Cor_42 ( (8, 11) ) : 3450873203245531910200270749104964701754732161856506016656615941341184
CKMP2019_Lem_41 ( (8, 11) ) : 3450873203245531910200270749104964701754732161856506016656615941341184
generalized_linkage ( 8,0 ) : 3450873203245531910200270749104964701754732161856506016656615941341184
generalized_linkage_multipleblocks (

[8, 11],[0, 0]

) : 3450873203245531910200270749104964701754732161856506016656615941341184
LiuChangFeng2019_Theo_2_6 ( ) : 3450873177126566698885464482962256503161136565583637260705831959134208
improved_linkage ( 8 ) : 3450873173396066753341906429201481461745924557154997041026165467284152
multicomponent ( ) : 3450873173396066531434301288534737398434157814085438609279250142855169
linkage_GLT ( 8 ) : 3450873173395281893717377931138512726225554486085193277863356503429769
LMRD ( ) : 3450873173395281893717377931138512726225554486085193277581262111899648
HKK_lemma_2_4_lower_bound ( ) : 842707638716774755893953521023275984596492959483431543981702415440
ChenHeWengXu2019_T31 ( ) : 105342141918573669590735994135645961496570866713287904513748888951
graham_sloane ( ) : 1675362383731318531236030375425130228897301064847913389063742017
sphere_covering ( ) : 1465942173312524263626868573771257684393079245525954471895889051
trivial_1 ( ) : 0

Upper bounds

Ahlswede_Aydinian ( 0, 18, o ) : 3513489570954861961879377744027741604626114491514546331434417106555463
improved_johnson ( ) : 3513489570954861961879377744027741604629917459862411943889357392145319
ilp_1 ( 1 ) : 3513489570954861961879377744027741604629917459862411943889357392145338
johnson_1 ( ) : 3513489570954861961879377744027741604629917459862411943889357392145338
anticode ( ) : 3513489573818030098472922941319498008141342469938284393950635593754077
ilp_2 ( 7 ) : 3513489573818030098472922941319498008141342469938284393950635593754077
linear_programming_bound ( ) : 3513489573818030098472922941319498008141342469938284393950635593754077
singleton ( ) : 4015416416396119033147299622148303750458461840668912175671578360534665
ilp_4 ( 18 ) : 28107916593407408924417942298794043701042172982780442605573302138249800
johnson_2 ( ) : 28107916593407408924417942298794043701042172982780442605573302138249800
HKK_lemma_2_4_upper_bound ( ) : 224863334396444130360235301754749778295258107424393511089545084293751880
ilp_3 ( 9 ) : 1798906675171553042881882414037998226362064859395148088716360674350015041
all_subs ( ) : 34492166432379026353648541013350430510335403493513053042272039631920888745547401
sphere_packing ( ) : 34492166432379026353648541013350430510335403493513053042272039631920888745547401

Bound for codes containing the lifted MRD code

(see EtzionSilberstein2012, Heinlein2018, and Kurz2019 for details)
3451868782074394269135629084636203259711745493506768788719022262005327

Do you have better bounds?

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