Statistics for Pakistan

Last updated: Sunday June 22, 2025. Quick summary:

Number
of boards
Total number
of pairs
Estimated minimum
number of
cheating pairs
Convicted
cheating pairs
% success Convicted cheating
pairs above
threshold
Convicted cheating
pairs below
threshold
500 20 1 n/a n/a 0 0
1,000 8 0 n/a n/a 0 0

We have several computers that are constantly processing data from different Bridge platforms organizations. At the end of each day, one computer generates tables of partnerships with a different minimum number of boards played. We have 150+ different cheating metrics. We use one of these metrics and rank the partnerships in the order that they are most likely to be cheating, or, more specifically, how likely their unusual actions are successful. The tables below contains the ranked list of the partnerships, based on a different minimum number of boards played.

For partnerships where both players have been convicted, we display their BBO names and the number of boards that we have in our database. Note that we do not claim to have all boards, however we have not deliberately removed any boards.

To 'prove' that we already know the names we display a 'secret' field and a 'SHA 256 Hash' field. Best explained with an example:

Rank Player 1 Player 2 Number
of boards
Secret SHA 256 Hash
1 NHAMMOND1 NHAMMOND2 744 4879f0f9362ef1b2dd1a1ef842da4d0476f7045feb2175d1d15c87e437d838ef dfe07d815cd7eae959de775c760a304930f9830b146398973c88fbcc3bcb2cce
2 n/a n/a n/a n/a 075fce9f341efdda520752b76f3e6a5347d23305b39e5eff7ff5bedd2adfa7a2

The 'SHA 256 Hash' is generated by calculating the SHA 256 hash for the text [Player_1][Player_2][Secret]. There are many online SHA 256 Hash generators, for example, that you can use to verify. SHA 256 is one of many cryptographical algorithms that generate a "Message Digest" from text.

Entering NHAMMOND1NHAMMOND24879f0f9362ef1b2dd1a1ef842da4d0476f7045feb2175d1d15c87e437d838ef into an online generator will show the result of dfe07d815cd7eae959de775c760a304930f9830b146398973c88fbcc3bcb2cce. Make sure there are no spaces when you enter the text. This verifies that the text generates the published SHA 256 hash.

The second pair is currently not shown as they have not been convicted. When they are convicted, the names and the secret to generate the SHA 256 hash, will be revealed. The second pair is NHAMMOND3 and NHAMMOND4. After they are convicted, then the table will be updated to become:

Rank Player 1 Player 2 Number
of boards
Secret SHA 256 Hash
1 NHAMMOND1 NHAMMOND2 744 4879f0f9362ef1b2dd1a1ef842da4d0476f7045feb2175d1d15c87e437d838ef dfe07d815cd7eae959de775c760a304930f9830b146398973c88fbcc3bcb2cce
2 NHAMMOND3 NHAMMOND4 696 33ea9591f7832beaf2dd60823453ce06a12be3e6bdcbcf9ce6b91662369ae671 075fce9f341efdda520752b76f3e6a5347d23305b39e5eff7ff5bedd2adfa7a2

We verify the hash by entering NHAMMOND3NHAMMOND433ea9591f7832beaf2dd60823453ce06a12be3e6bdcbcf9ce6b91662369ae671 into and confirm that the result is 075fce9f341efdda520752b76f3e6a5347d23305b39e5eff7ff5bedd2adfa7a2.

The mathematics of SHA 256 hashes is that it is considered impossible to reverse engineer a SHA 256 hash. It is considered mathematically impossible to extract the pair's names from the published 'SHA 256 hash'. Authorized customers of Hammond Software have access to the secret, full names, and also a report on the pair.

The tables can be large. To speed up display, and to quickly go to a particular number of boards, the tables are displayed "hidden". You must click on the "Show/Hide" button to fisplay them.

The cheating threshold has been set quite high. Almost certainly there are cheating players who are below this threshold.

This data is based on BBO events. We do not claim to have all boards. The 'cheating threshold' has been determined by volunteers and manually analysis of cheating players.

You will see many reporting cheating pairs that are below the threshold that we use. The threshold for cheating is subjective; we use a very high threshold for this work.

The amount of data is potentially very big. We display in tables of rows of approximately 500 as some browsers struggle with large tables. We stop displaying data approximately 100 pairs after the last cheating pair.

Probably. Some National Bridge Organizations (NBOs) do not release the information, or we have yet to process the information from that NBO. Let us know and we will look at adding.

We do track some larger clubs. We do not typically publish these results on the public side.

Contact us. We do provided the unencrypted names to our customers along with the reports.

The number of boards is updated every day. Probably once a month we update the last of convicted cheating partnerships as this is mostly a manual effort so there is typically some delay in reporting.

A red row indicates a cheating pair or a suspected cheating pair. All pairs above our cheating threshold are marked in red. All convicted cheating pairs are also marked in red.

Yes! Change the URL from nbos1 to nbos2 to see a completely different metric with its own cheating threshold.

Send us an email and we will either reply or look at adding the question.

20 total partnerships with a minimum of 500 boards played. Estimated minimum number of cheaters players is 1.

Rank Player 1 Player 2 Number
of boards
Secret SHA 256 Hash
1 n/a n/a n/a n/a f04b94523751e4b301027b594b47cca3d1e5da9ce2158dc43dba0d5690333ba2
2 n/a n/a n/a n/a 2db66c96bfe4fab33938e5759a67c7b540a413301a2953bfb00f595992ea5c8b
3 n/a n/a n/a n/a 6d57a83483db3a37951567c279142788cd86ab680142d320a246bbe59dce9a88
4 n/a n/a n/a n/a a1620605a0542a2bf4de3653fa877e918117073396a610511a3a76d7c9468bf9
5 n/a n/a n/a n/a a89c1cc08befee3aa64bbe890f968c316b4cc094119aaa7cfc58dde506c79446
6 n/a n/a n/a n/a d9f6bb5e33327c2c4cfd7a2285b410f32c0e2308c919fba284a1a6569dcf661c
7 n/a n/a n/a n/a ad61e96cb363447798bd37bfe55442a5014b42f9cce90a095b89c645826467eb
8 n/a n/a n/a n/a 0dbf72ebe1229b665d74615f3d2f6e3d93acfd6c9fbe75bcf91a29251f150dbe
9 n/a n/a n/a n/a 2ce81a6e6350d110d97f9ec274a1a55dbe1df0a7dc6c15610db087cbed5b18ab
10 n/a n/a n/a n/a 60594bcec22ed14b2df4aae98605b21966061174ff8c62a8eb2f780cf008f9cd
11 n/a n/a n/a n/a 29f15d13ba6c340b2b5e452de8fa76976bc6eb71c14d2030593845e09c02e775
12 n/a n/a n/a n/a 151fbd6216e9360711a33ab47b8c774bb4729e727e6a68981c7ebb724a8151c6
13 n/a n/a n/a n/a 6a4970c55a6cc131d775ba9fed945e89d044022615c25690d41d72e229ace2b6
14 n/a n/a n/a n/a 7782ad80fd49d9d8eb95850532cd0e53549f78f9c2946ee78ee32e0dcf2c8d66
15 n/a n/a n/a n/a a0d679922d25131d010971f241ce737537fe3d992fb6c4ebb833b7dc51487a62
16 n/a n/a n/a n/a 36ae360e6acc2742b3e897c6b06e9020d37357cbb5e2dff009af485ac6a1fc3a
17 n/a n/a n/a n/a 2ac6e3ed23a93ad98a15dc474174f228698a6a9e72cedb50e536d7447994b7df
18 n/a n/a n/a n/a 86c196ae6dc23786e5420c4c87fffcfffc3503c7faa06c298007e92294d1ab0f
19 n/a n/a n/a n/a 7627de5bcad2a0f5b7d773542dc467954eab57ca764da2370636277e68501f41
20 n/a n/a n/a n/a 16cc113a34db7b8adb74929aa925b5111642e2a9ea67d980ffc80ca74df096d2

8 total partnerships with a minimum of 1,000 boards played. Estimated minimum number of cheaters players is 0.

Rank Player 1 Player 2 Number
of boards
Secret SHA 256 Hash
1 n/a n/a n/a n/a d9f6bb5e33327c2c4cfd7a2285b410f32c0e2308c919fba284a1a6569dcf661c
2 n/a n/a n/a n/a 0dbf72ebe1229b665d74615f3d2f6e3d93acfd6c9fbe75bcf91a29251f150dbe
3 n/a n/a n/a n/a 6a4970c55a6cc131d775ba9fed945e89d044022615c25690d41d72e229ace2b6
4 n/a n/a n/a n/a a0d679922d25131d010971f241ce737537fe3d992fb6c4ebb833b7dc51487a62
5 n/a n/a n/a n/a 36ae360e6acc2742b3e897c6b06e9020d37357cbb5e2dff009af485ac6a1fc3a
6 n/a n/a n/a n/a 2ac6e3ed23a93ad98a15dc474174f228698a6a9e72cedb50e536d7447994b7df
7 n/a n/a n/a n/a 86c196ae6dc23786e5420c4c87fffcfffc3503c7faa06c298007e92294d1ab0f
8 n/a n/a n/a n/a 7627de5bcad2a0f5b7d773542dc467954eab57ca764da2370636277e68501f41

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