Information on Result #1718312
Digital (86, 104, 5476)-net over F4, using net defined by OOA based on linear OOA(4104, 5476, F4, 21, 18) (dual of [(5476, 21), 114892, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4104, 16429, F4, 3, 18) (dual of [(16429, 3), 49183, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4104, 16430, F4, 3, 18) (dual of [(16430, 3), 49186, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4104, 16430, F4, 18) (dual of [16430, 16326, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(10) [i] based on
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(412, 46, F4, 6) (dual of [46, 34, 7]-code), using
- a “GraQC†code from Grassl’s database [i]
- construction X applied to Ce(17) ⊂ Ce(10) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4104, 16430, F4, 18) (dual of [16430, 16326, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(4104, 16430, F4, 3, 18) (dual of [(16430, 3), 49186, 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.