Information on Result #1775099
Digital (108, 124, 524300)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4124, 524300, F4, 2, 16) (dual of [(524300, 2), 1048476, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4122, 524299, F4, 2, 16) (dual of [(524299, 2), 1048476, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4122, 1048598, F4, 16) (dual of [1048598, 1048476, 17]-code), using
- construction X4 applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(4121, 1048576, F4, 17) (dual of [1048576, 1048455, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(421, 22, F4, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,4)), using
- dual of repetition code with length 22 [i]
- linear OA(41, 22, F4, 1) (dual of [22, 21, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(16) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(4122, 1048598, F4, 16) (dual of [1048598, 1048476, 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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.