Details for entry \(A_3(16,4;3)\)

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Lower bounds

improved_linkage ( 7 ) : 2703425259205
improved_linkage ( 13 ) : 2703425259205
linkage_GLT ( 13 ) : 2703425259205
linkage_ST ( 3 ) : 2703425259205
construction_D ( 3 ) : 2703425259204
improved_linkage ( 12 ) : 2703425119264
linkage_GLT ( 12 ) : 2703425119237
linkage_ST ( 4 ) : 2703425119237
construction_D ( 4 ) : 2703425119236
improved_linkage ( 11 ) : 2703421826368
linkage_GLT ( 11 ) : 2703421825642
linkage_ST ( 5 ) : 2703421825642
construction_D ( 5 ) : 2703421825614
linkage_GLT ( 7 ) : 2703420722233
linkage_ST ( 9 ) : 2703420722233
improved_linkage ( 10 ) : 2703420710661
linkage_GLT ( 10 ) : 2703420704437
linkage_ST ( 6 ) : 2703420704437
construction_D ( 6 ) : 2703420703683
construction_D ( 9 ) : 2703420172242
improved_linkage ( 9 ) : 2630589963538
linkage_GLT ( 9 ) : 2630589910257
linkage_ST ( 7 ) : 2630589910257
construction_D ( 7 ) : 2630589903279
improved_linkage ( 6 ) : 2629081221040
linkage_GLT ( 6 ) : 2629040525317
linkage_ST ( 10 ) : 2629040525317
construction_D ( 10 ) : 2629035438354
construction_1 ( ) : 2594821233559
construction_ST_A_1 ( ) : 2594821233559
improved_linkage ( 8 ) : 2593952910730
linkage_GLT ( 8 ) : 2593952420998
linkage_ST ( 8 ) : 2593952420998
construction_D ( 8 ) : 2593952360739
improved_linkage ( 3 ) : 2575241446270
construction_ST_B ( ) : 2573987829525
two_pivot_block_construction ( ) : 2573639151183
multicomponent ( ) : 2573639151175
linkage_GLT ( 3 ) : 2545574230605
linkage_ST ( 13 ) : 2545574230605
LMRD ( ) : 2541865828329
construction_D ( 13 ) : 2541865828329
improved_linkage ( 14 ) : 901141684408
improved_linkage ( 5 ) : 879081713728
linkage_GLT ( 5 ) : 878715451738
linkage_ST ( 11 ) : 878715451738
construction_D ( 11 ) : 878669669052
graham_sloane ( ) : 329953645351
linkage_ST ( 15 ) : 300380569129
improved_linkage ( 4 ) : 286137938757
linkage_GLT ( 4 ) : 282841581157
linkage_ST ( 12 ) : 282841581157
construction_D ( 12 ) : 282429536481
sphere_covering ( ) : 228429577405
linkage_ST ( 14 ) : 33375617941
HKK_lemma_2_4_lower_bound ( ) : 16142520
construction_D ( 14 ) : 0
construction_D ( 15 ) : 0
trivial_1 ( ) : 0

Upper bounds

improved_johnson ( ) : 2969579634841
Ahlswede_Aydinian ( 0, 15, o ) : 2969579634843
ilp_1 ( 1 ) : 2969579634843
johnson_1 ( ) : 2969579634843
Ahlswede_Aydinian ( 1, 2 ) : 2969583360040
Ahlswede_Aydinian ( 0, 14, o ) : 2969583360040
anticode ( ) : 2969583360040
ilp_2 ( 2 ) : 2969583360040
linear_programming_bound ( ) : 2969583360040
Ahlswede_Aydinian ( 1, 3 ) : 2969584506255
Ahlswede_Aydinian ( 1, 4 ) : 2969587944905
Ahlswede_Aydinian ( 1, 5 ) : 2969598260904
Ahlswede_Aydinian ( 1, 6 ) : 2969629209331
Ahlswede_Aydinian ( 1, 7 ) : 2969722058484
Ahlswede_Aydinian ( 1, 8 ) : 2970000640780
Ahlswede_Aydinian ( 1, 9 ) : 2970836701356
Ahlswede_Aydinian ( 1, 10 ) : 2973347709702
Ahlswede_Aydinian ( 1, 11 ) : 2980906267714
Ahlswede_Aydinian ( 1, 12 ) : 3003814289356
Ahlswede_Aydinian ( 1, 13 ) : 3074700763441
Ahlswede_Aydinian ( 1, 14 ) : 3308963682949
Ahlswede_Aydinian ( 1, 15 ) : 4289397389563
singleton ( ) : 4289397389563
Ahlswede_Aydinian ( 0, 15 ) : 8908753805319
ilp_4 ( 15 ) : 8908753805319
johnson_2 ( ) : 8908753805319
Ahlswede_Aydinian ( 0, 14 ) : 26726294942748
ilp_4 ( 14 ) : 26726294942748
Ahlswede_Aydinian ( 0, 13 ) : 80179186571550
ilp_4 ( 13 ) : 80179186571550
Ahlswede_Aydinian ( 0, 12 ) : 240540275443771
ilp_4 ( 12 ) : 240540275443771
Ahlswede_Aydinian ( 0, 11 ) : 721645267893403
ilp_4 ( 11 ) : 721645267893403
Ahlswede_Aydinian ( 0, 10 ) : 2165155820793262
ilp_4 ( 10 ) : 2165155820793262
Ahlswede_Aydinian ( 0, 9 ) : 6497448391767520
ilp_4 ( 9 ) : 6497448391767520
Ahlswede_Aydinian ( 0, 8 ) : 19510173539792166
ilp_4 ( 8 ) : 19510173539792166
Ahlswede_Aydinian ( 0, 7 ) : 58691827208280160
ilp_4 ( 7 ) : 58691827208280160
HKK_lemma_2_4_upper_bound ( ) : 59180925768349161
Ahlswede_Aydinian ( 0, 5 ) : 164337116183184448
ilp_4 ( 5 ) : 164337116183184448
Ahlswede_Aydinian ( 0, 4 ) : 177542777305047484
Ahlswede_Aydinian ( 0, 6 ) : 177542777305047484
Ahlswede_Aydinian ( 1, 12, o ) : 177542777305047484
ilp_3 ( 4 ) : 177542777305047484
ilp_4 ( 6 ) : 177542777305047484
Ahlswede_Aydinian ( 1, 13, o ) : 182095150353136460
Ahlswede_Aydinian ( 1, 14, o ) : 197269725065013983
Ahlswede_Aydinian ( 1, 15, o ) : 263026177881648511
Ahlswede_Aydinian ( 0, 3 ) : 7101711092201899360
Ahlswede_Aydinian ( 0, 13, o ) : 7101711092201899360
all_subs ( ) : 7101711092201899360
sphere_packing ( ) : 7101711092201899360

Bound for codes containing the lifted MRD code

(see EtzionSilberstein2012 and Heinlein2018 for details)
2594821233559

Do you have better bounds?

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