Add the pecan halves to a saucepan and heat over medium heat. Let the pecans toast for 3-5 minutes, stirring often to keep them from burning.
After 3-5 minutes, add in the sugar, water, and salt and stir the mixture until the sugar and salt are fully dissolved.
Bring the mixture to a simmer, and simmer for 7-10 minutes, stirring often.
Remove the saucepan from the heat and pour the syrup through a strainer into a mason jar or heat proof container, catching the pecans inside the strainer. You can throw away the pecans or save to use as a topping for oatmeal, pancakes, chia pudding, or the pecan crunch topping.
Let the syrup cool completely before adding a lid or cap, and store in the fridge for up to 2 weeks.
Note, you can use the leftover pecans for a pecan crunch topping. Add the pecans to a baking sheet and let cool before adding to a Ziploc bag and crushing the pecans with a rolling pin. Add the crushed pecans to the top of any coffee or tea beverage.