You have been assigned a group number. The message your group receives is listed below. This message is TOP
SECRET! It is of such importance that it has been encoded four times.
Your group’s portion of the coded message is listed below.
Group 1:
1500, 3840, 0, 3444, 3420, 4350, 0, 4824, 3672, 3474, −2592, −6660, 0, −5976, −5940, −7560, 0, −8388,
−6372, −6048
Group 2:
2424, 3024, −138, 396, −558, −1890, −1752, 1512, −2946, 1458, 438, 540, −24, 72, −90, −324, −300, 270,
−510, 270
Group 3:
489, 1420, 606, 355, 1151, 33, 1002, 829, 99, 1121, 180, 520, 222, 130, 422, 12, 366, 304, 36, 410
Group 4:
−18, 10, −18, 44, −54, 42, −6, −74, −98, −124, 0, 10, −12, 46, −26, 42, −4, −36, −60, −82
Group 5:
−120, 0, −78, −54, −84, −30, 0, −6, −108, −30, −120, 114, 42, 0, −12, 42, 0, 36, 0, 0
a. Store your message in a matrix C with two rows. How many columns does matrix C have?
b. Begin at the station of your group number, and apply the decoding matrix at this first station.
c. Proceed to the next station in numerical order; if you are at Station 6, proceed to Station 1. Apply the
decoding matrix at this second station.
d. Proceed to the next station in numerical order; if you are at Station 6, proceed to Station 1. Apply the
decoding matrix at this third station.
Group 6:
126, 120, 60, 162, 84, 120, 192, 42, 84, 192, −18, −360, −90, −324, 0, −18, −216, −36, −90, −324
e. Proceed to the next station in numerical order; if you are at Station 6, proceed to Station 1. Apply the
decoding matrix at this fourth station.
f. If we know the original message had 21 characters and the last letter was an H, decode your message.