Information on Result #1723630
Digital (111, 133, 19544)-net over F5, using net defined by OOA based on linear OOA(5133, 19544, F5, 27, 22) (dual of [(19544, 27), 527555, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5133, 78177, F5, 3, 22) (dual of [(78177, 3), 234398, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5133, 78180, F5, 3, 22) (dual of [(78180, 3), 234407, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5133, 78180, F5, 22) (dual of [78180, 78047, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [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(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(513, 55, F5, 7) (dual of [55, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 63, F5, 7) (dual of [63, 50, 8]-code), using
- a “GraCyc†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(513, 63, F5, 7) (dual of [63, 50, 8]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5133, 78180, F5, 22) (dual of [78180, 78047, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(5133, 78180, F5, 3, 22) (dual of [(78180, 3), 234407, 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.