Information on Result #1786408
Digital (63, 80, 7816)-net over F5, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(580, 7816, F5, 2, 17) (dual of [(7816, 2), 15552, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(580, 15632, F5, 17) (dual of [15632, 15552, 18]-code), using
- 1 times code embedding in larger space [i] based on linear OA(579, 15631, F5, 17) (dual of [15631, 15552, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(579, 15631, F5, 17) (dual of [15631, 15552, 18]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.