How to decode and transmit a 315 MHz signal from a remote?

How to decode and transmit a 315 MHz signal from a remote?
I have attached a PDF that has the text and pictures together.

I have a remote that has an AUX R315A transmitter on a GV-CDT01 board. There is also an IC ABVO MC96F633D 1319 Korea. The antenna is 7mm long. The voltage is 2 AAA batteries.
I captured the signal from the transmitter by connecting the data pin to line in on a sound card using a 3.5 mm jack. Below is the captured signal. The remote requires a key press to activate the remote and then I pressed the power button 3 times.

I found the FCC information and below is what I think is all of the detail I need.
Frequency = 315 MHz
Transmit only control signal = yes
Deactivates in 5 seconds
Duty Cycle = .357225434
Duration of Pulse train = 17.3 mSec
Large pulse width = .42 mSec
Small pulse width = .15 mSec
Below is one of the signals expanded out.

I have tried to replay this out of the sound card into a 315 MHz transmitter with no success. I took the 3.5 mm jack and ground went to ground and the tip of the jack went to data pin on the transmitter. I used 3 volts to power the transmitter. The transmitter I used is WRL-10535 from SparkFun. I then tried to use this transmitter with an Arduino and code and no success there either.

I have expanded this out even more and I used the following to come up with a code. The long (wide) is a 0 and the short (narrow) is a 1.
011111111110010110011110101011011011111111111111101010110
I count 57 bits. I tried using several code examples and have had no success in getting the device to turn on with this transmission. I tried following the tutorials of Arduino Basics 433 MHz RF module with Arduino Tutorial 1-4. I used 315 MHz equipment instead of the 433 MHz in the tutorial.
Please let me know what I am doing incorrectly and if it is possible for me to duplicate this so I may control the device with the Arduino and a 315 MHz transmitter.

How to decode and transmit a 315 mhz signal from a remote.pdf (134 KB)

That could be a proprietary code, rather than one commonly used. If so, and no one has decoded the signals from the particular device before, it will take some work on your part.

There are plenty of success stories on the web describing how other people have approached this problem. If you can't solve the code, you can always mimic it.