Where Is The Best AMONG US?

In the on-line video game Among Us, gamers that see the Comms space listen to a blurry audio recording of a collection of high-pitched beeps that sound like Morse code. I initially heard the recording right here, yet this even more current video additionally plays it at around 5:00, complied with by a good explanation of the problem with attempting to figure out the code.

The complying with figure reveals a spectrogram of the audio clip, with time on the x-axis, and each upright slice showing the Fourier transform of a short (approximately 50 ms) sliding window of the signal centered at the matching time. We can plainly see the "dots" as well as "dashboards" at around 1 kHz, with the equivalent translation overlaid in yellow.


Spectrogram of the Comms space sound, with the translated Morse code also indicated in yellow. among us free skins
Since we have the Morse code drawn out from the audio (which, for reference if you wish to copy-paste and have fun with this issue, is ".-.-- ...-.-- ...-. -..."), we just need to translate it? The issue is that the dots and also dashes are all uniformly spaced, without the required longer gaps in between letters, let alone the still longer gaps that would be anticipated between words. Without knowing the desired locations of those spaces, the code is ambiguous: as an example, the first dot might show the letter E, or the initial dot as well as rush with each other could indicate an A, and so on

. That turns out to be a big trouble. The following figure reveals the deciphering trie for Morse code letters and digits; starting at the origin, move to the left youngster vertex for each and every dot, or to the appropriate child vertex for each and every dashboard. A red vertex suggests either a void code or various other punctuation.


Morse code represented as a translating trie; each left as well as right side suggests a dot or dash, respectively.
If we neglect the figures in the lowest degree of the trie, we see that not just are Morse code letters uncertain (i.e., not prefix-free), they are virtually "maximally uncertain," in the feeling that the trie of letters is virtually complete. That is, for practically any type of prefix of four dots and also dashes we might encounter, the void showing completion of the first letter might be after any one of those initial 4 symbols.

This would certainly make a great shows workout for pupils, to show that this specific series of 24 symbols might be translated into a series of letters in exactly 3,457,592 possible means. Provided, most of these decodings result in nonsense, like AEABKGEAEAEEE. Yet an extra fascinating and also challenging issue is to effectively search for practical decodings, that is, messages containing actual (English?) words, maybe in addition constricted by grammatical connections in between words.

-- that this audio clip is simply made up, an arbitrary sequence of dots as well as dashboards indicated to appear like "actual" Morse code. Which is the intriguing question that inspired this article: if we create an entirely random, and therefore deliberately unintelligible, series of 24 dashes as well as dots, what is the possibility that it still yields a "affordable" possible decoding, for sufficiently big worths of "affordable"?


Currently that we have the Morse code extracted from the sound (which, for reference if you desire to copy-paste as well as play with this issue, is ". Without understanding the intended locations of those voids, the code is ambiguous: for instance, the very first dot can indicate the letter E, or the very first dot and also rush together might indicate an A, and so on

. The following figure reveals the deciphering trie for Morse code letters and figures; beginning at the origin, relocation to the left child vertex for each dot, or to the right child vertex for each dash.-- that this audio clip is simply made up, a random series of dashes and dots indicated to appear like "genuine" Morse code.

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