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Our concept is to stitch webbing onto the existing shroud line connections at the bottom edge of the parachute. Since there's already a connection point there for the lines we figured it would be a better place to stitch something else onto as compared to another point on the bottom edge of the parachute where the fabric is more fragile. The reefing line will be fed through all of these webbing loops and tied into a loop of the appropriate circumference to achieve our desired cross-sectional area.
We will have two line cutters at two points on the reefing line for redundancy and the wires to each cutter will be attached to the reefing line to hopefully prevent them from getting wrapped around as much. If a line cutter demonstration shows that they eject hot gas/flame on activation that would potentially damage the parachute material, we will make small covering bags for each line cutter to prevent the hot gases/flames from touching the parachute material.