The main benefit of this particular system is that only two consecutive cards need to be picked (instead of four, five or six cards as in other systems) and they can be easily read from 20 ft away and you can use your favorite stack!

Instead of a quad-based debruin based on suits use an octo deBruijn with only two consecutive cards selected from a 52 card deck.

With the below octo-based wrapping deBruijn each card will have three binary bits to express a value of 0 through 7 ie: 111 means seven, 110 means 6, 101 means five ... 000 means zero.

Therefore I propose using a bicycle rider back deck and your favorite stack and apply the below octo-based numbers to mark the back of each card in your stack.

Below is the 2 card octo-based wrapping deBruijn I have created:

0011223344556677
20304050607
1314151617
32124252627
4657

The above is the octo-based debruin to apply to your stack.

Looking at the top half of a rider back card you will see three bright objects:

1. the cherub in the upper right corner (binary ones position)

2. the rider angel in the middle on the bicycle (binary twos position)

3. the cherub in the upper left corner (binary fours position)

Therefore using my water-based pen dulling technique these three objects can be made to represent a one or a zero (dulled object is a binary "0" whereas a bright object is a binary "1"):

If you dull the two cherubs and the rider angel then the card appears as 000 which means decimal zero.

If you dull the upper left cherub and the rider angel then the card appears as 001 which means decimal one.

If you dull the two cherubs and leave the rider angel alone then the card will appear as 010 which is decimal two.

If you dull only the upper left cherub then the card will appear as 011 which is decimal three.

If you dull the upper right cherub and the rider angel then the card appears as 100 which means decimal four.

if you dull only the rider angel then the card will appear as 101 which of course means decimal five.

If you dull only the upper right cherub then the card appears as 110 which means decimal six.

If you don't dull any of the three objects then the card appears as 111 which means decimal seven.

Of course you rotate the card and do the same dulling again so that what was on the bottom half of a card looks the same as what was the top half of that card (so each card will have its same markings regardless of its orientation). Of course you can dull the bottom half of each card at the same time you're dulling the top half.

Note that the first two cards of your stack will each be coded as 000 (all three objects dulled).
The third and fourth card of your stack will each be coded as 001 (the left cherub dulled and the rider angel dulled).
...
the 49th card of your stack will be coded as 100.
the 50th card of your stack will be coded as 110.
the 51st card of your stack will be coded as 101.
The 52nd card of your stack will be coded as 111.

I will develop a sorted generic cheat sheet that you can use on your marked stack deck.

After the spectator(s) hold the cards near their forehead with backs of the cards toward you then you the magician mentally convert the two binary coded cards to 2 decimal digits. This is very easy.

For example let's say the first card has 101 and the second card has 111 then you say to yourself "five seven" then you look down on your sorted cheat sheet for 57 and then look just to the right of that number and see the position of the first card selected which in this case is 51. Therefore since you have your stack memorized you know what the two cards are (position 51 and position 52).

You could have a sorted cheat sheet that lists both cards to the right therefore you don't need to have the stack memorized. But you do need to have the stack itself listed somewhere so that before your performance you can make sure your marked deck is in the proper order.

Dulling technique:
apply a very slight moisture to the cherub and/or rider angel and then use a cheap water-based pen (use black ink for blue back cards and red ink for red back cards) to put a very small amount of ink on the object and quickly blott it with a tissue or your finger so that there is no dark blots. You should not see any pen marks but rather the object should just appear slightly dull and not bright. I have had good success with just smearing the object slightly with my finger.

Oops, above I see 12 in two places, let's see if I can fix that by making some changes in the last three lines:

0011223344556677
20304050607
1314151617
32764252624
3657

I think the above is perfect IE no duplicate two numbers.

Here is the sorted generic cheat sheet for your stack. How to use this cheat sheet: after a spectator cuts the deck a few times and then deals two consecutive cards and then holds those two cards near their forehead (back of cards toward you), you then mentally translate the first of those two cards binary code into decimal and then do the same for the second card.

Let's say the translation for the first card is "1" and the translation for the second card is "3" then you look at the cheat sheet below and find "13" and see that the first card is your memorized card 28 and of course the other card will be your memorized 29 card.

00 pos 1
01 pos 2
03 pos 18
04 pos 20
05 pos 22
06 pos 24
07 pos 26
11 pos 3
12 pos 4
13 pos 28
14 pos 30
15 pos 32
16 pos 34
17 pos 36
20 pos 17
22 pos 5
23 pos 6
24 pos 47
25 pos 43
26 pos 45
27 pos 39
30 pos 19
31 pos 29
32 pos 38
33 pos 7
34 pos 8
36 pos 49
40 pos 21
41 pos 31
42 pos 42
43 pos 48
44 pos 9
45 pos 10
50 pos 23
51 pos 33
52 pos 44
55 pos 11
56 pos 12
57 pos 51
60 pos 25
61 pos 35
62 pos 46
64 pos 41
65 pos 50
66 pos 13
67 pos 14
70 pos 52
71 pos 27
72 pos 16
73 pos 37
76 pos 40
77 pos 15

I marked up an Aronson deck using my dulling technique (took less than 2 hours) and then ran several experiments and it was easy as pie using the cheat sheet.

Note: because of my "oops" correction the 49th card will not be coded as binary "100" Instead it will be coated as binary "011".

That's "coded" not "coated".

Here is the sorted 2 card octo cheat sheet for the Aronson stack.

00 JS KC
01 KC 5C
03 AD 7S
04 5S QD
05 AH 8S
06 3D 7H
07 QH 5D
11 5C 2H
12 2H 9S
13 7C 4H
14 KH 4D
15 TD JC
16 JH TC
17 JD 4S
20 3S AD
22 9S AS
23 AS 3H
24 9C QS
25 KS 6S
26 4C 8H
27 6H 3C
30 7S 5S
31 4H KH
32 TH 6H
33 3H 6C
34 6C 8D
36 6D QC
40 QD AH
41 4D TD
42 9H KS
43 QS 6D
44 8D AC
45 AC TS
50 8S 3D
51 JC JH
52 6S 4C
55 TS 5H
56 5H 2D
57 2C 9D
60 7H QH
61 TC JD
62 8H 9C
64 2S 9H
65 QC 2C
66 2D KD
67 KD 7D
70 9D JS
71 5D 7C
72 8C 3S
73 4S TH
76 3C 2S
77 7D 8C

For example the jack of hearts is coded as "001" and the ten of clubs is coded as "110" which translates to decimal 16.

Here is the sorted 2 card Octo Cheat Sheet for Tamariz Mnemonica stack:

Tamar 00 4C 2H
Tamar 01 2H 7D
Tamar 03 KC 2D
Tamar 04 JH 3S
Tamar 05 8S 6H
Tamar 06 TC 5D
Tamar 07 KD 2C
Tamar 11 7D 3C
Tamar 12 3C 4H
Tamar 13 3H 8D
Tamar 14 5C KS
Tamar 15 JD 8C
Tamar 16 TS KH
Tamar 17 JC 7S
Tamar 20 9H KC
Tamar 22 4H 6D
Tamar 23 6D AS
Tamar 24 7C QS
Tamar 25 AC 9C
Tamar 26 JS QD
Tamar 27 AD 4S
Tamar 30 2D JH
Tamar 31 8D 5C
Tamar 32 TH AD
Tamar 33 AS 5H
Tamar 34 5H 9S
Tamar 36 TD 6C
Tamar 40 3S 8S
Tamar 41 KS JD
Tamar 42 4D AC
Tamar 43 QS TD
Tamar 44 9S 2S
Tamar 45 2S QH
Tamar 50 6H TC
Tamar 51 8C TS
Tamar 52 9C JS
Tamar 55 QH 3D
Tamar 56 3D QC
Tamar 57 AH 9D
Tamar 60 5D KD
Tamar 61 KH JC
Tamar 62 QD 7C
Tamar 64 7H 4D
Tamar 65 6C AH
Tamar 66 QC 8H
Tamar 67 8H 6S
Tamar 70 9D 4C
Tamar 71 2C 3H
Tamar 72 5S 9H
Tamar 73 7S TH
Tamar 76 4S 7H
Tamar 77 6S 5S

For example the ten of diamonds is coded as "011" and the six of clubs is coded as "110" which mentally translates the two cards to decimal 36.