Information on Result #1485109
Linear OOA(5136, 4153700, F5, 3, 16) (dual of [(4153700, 3), 12460964, 17]-NRT-code), using OOA 2-folding based on linear OOA(5136, 8307400, F5, 2, 16) (dual of [(8307400, 2), 16614664, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5136, 8307401, F5, 2, 16) (dual of [(8307401, 2), 16614666, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5136, 8307401, F5, 16) (dual of [8307401, 8307265, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5136, large, F5, 16) (dual of [large, large−136, 17]-code), using
- 15 times code embedding in larger space [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 15 times code embedding in larger space [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5136, large, F5, 16) (dual of [large, large−136, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5136, 8307401, F5, 16) (dual of [8307401, 8307265, 17]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.