Information on Result #1723614
Digital (103, 125, 11185)-net over F5, using net defined by OOA based on linear OOA(5125, 11185, F5, 27, 22) (dual of [(11185, 27), 301870, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5125, 44741, F5, 3, 22) (dual of [(44741, 3), 134098, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5125, 44743, F5, 3, 22) (dual of [(44743, 3), 134104, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5125, 44743, F5, 22) (dual of [44743, 44618, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(5125, 78152, F5, 22) (dual of [78152, 78027, 23]-code), using
- construction XX applied to Ce(21) ⊂ Ce(17) ⊂ Ce(16) [i] based on
- linear OA(5120, 78125, F5, 22) (dual of [78125, 78005, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(21) ⊂ Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(5125, 78152, F5, 22) (dual of [78152, 78027, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5125, 44743, F5, 22) (dual of [44743, 44618, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(5125, 44743, F5, 3, 22) (dual of [(44743, 3), 134104, 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.