Information on Result #1723226
Digital (103, 122, 65106)-net over F5, using net defined by OOA based on linear OOA(5122, 65106, F5, 21, 19) (dual of [(65106, 21), 1367104, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5122, 195319, F5, 3, 19) (dual of [(195319, 3), 585835, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5122, 195321, F5, 3, 19) (dual of [(195321, 3), 585841, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5122, 195321, F5, 2, 19) (dual of [(195321, 2), 390520, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5122, 390642, F5, 19) (dual of [390642, 390520, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(51, 17, F5, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(5122, 390642, F5, 19) (dual of [390642, 390520, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5122, 195321, F5, 2, 19) (dual of [(195321, 2), 390520, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5122, 195321, F5, 3, 19) (dual of [(195321, 3), 585841, 20]-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.