In a food processor, combine bread flour, instant yeast, salt, white sugar, and warm water. Process until a smooth and elastic ball of dough forms.
Transfer the dough to a greased bowl, cover with a kitchen towel, and let it rise in a warm place until doubled in size (about 1 hour).
Punch down the risen dough to release air bubbles, then divide it into equal pieces and shape each into a bagel shape.
Boil a pot of water with barley malt syrup and gently drop the shaped bagels into the boiling water, boiling for about a minute on each side.
Remove the boiled bagels and place them on a baking sheet lined with parchment paper.
Preheat your oven, brush the bagels with beaten egg, sprinkle desired toppings, and bake until golden brown and crusty.
Let the bagels cool on a wire rack before slicing and serving.