Information on Result #1718334
Digital (99, 117, 17503)-net over F4, using net defined by OOA based on linear OOA(4117, 17503, F4, 21, 18) (dual of [(17503, 21), 367446, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4117, 52510, F4, 3, 18) (dual of [(52510, 3), 157413, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4117, 52511, F4, 3, 18) (dual of [(52511, 3), 157416, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4117, 52511, F4, 18) (dual of [52511, 52394, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4117, 65580, F4, 18) (dual of [65580, 65463, 19]-code), using
- 5 times code embedding in larger space [i] based on linear OA(4112, 65575, F4, 18) (dual of [65575, 65463, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- 5 times code embedding in larger space [i] based on linear OA(4112, 65575, F4, 18) (dual of [65575, 65463, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4117, 65580, F4, 18) (dual of [65580, 65463, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4117, 52511, F4, 18) (dual of [52511, 52394, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(4117, 52511, F4, 3, 18) (dual of [(52511, 3), 157416, 19]-NRT-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.