Slice cucumber and carrot into thin strips and sprinkle with salt. Let them sit for 10 minutes to draw out moisture.
Beat the eggs and cook thin omelets, then cut into long strips.
Lightly sauté the carrot strips in a pan with some oil.
Toast the anchovies in a pan until crispy.
Place a sheet of seaweed on a bamboo mat and spread a thin layer of rice evenly over it.
Arrange cucumber, carrot, egg strips, and crispy anchovies evenly on top of the rice.
Roll up tightly, shape with the bamboo mat, and slice into bite-sized pieces.