Information on Result #1723640
Digital (118, 140, 48830)-net over F5, using net defined by OOA based on linear OOA(5140, 48830, F5, 27, 22) (dual of [(48830, 27), 1318270, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5140, 195321, F5, 3, 22) (dual of [(195321, 3), 585823, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5140, 195322, F5, 3, 22) (dual of [(195322, 3), 585826, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5140, 195322, F5, 2, 22) (dual of [(195322, 2), 390504, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5140, 390644, F5, 22) (dual of [390644, 390504, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 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(53, 19, F5, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(5140, 390644, F5, 22) (dual of [390644, 390504, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5140, 195322, F5, 2, 22) (dual of [(195322, 2), 390504, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5140, 195322, F5, 3, 22) (dual of [(195322, 3), 585826, 23]-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.