Prepare rice according to package directions.
In a small bowl, mix flaxseed with water. Let sit for 5 minutes to thicken.
In a large bowl, mix rice, kimchi, scallions, 1 tbsp soy sauce, 1 tbsp sesame oil, flaxseed mixture, flour, and sesame seeds. Mix completely.
Using a cookie scoop, scoop out the mixture and form into patties with your hands. Press lightly to flatten.
Heat oil in a nonstick skillet over medium heat. Cook in batches for 3 minutes per side, until golden and crispy. Transfer to a paper towel-lined plate.
In another small bowl, mix 2 tbsp soy sauce, rice vinegar, agave, 1 tsp sesame oil, and gochugaru together to make a dipping sauce.
Serve fritters hot with dipping sauce.
Recipe tip: Replace all-purpose flour with rice flour to make gluten free.
Can substitute the dipping sauce with vegan mayo and sriracha.