Information on Result #1714728
Digital (142, 163, 34957)-net over F3, using net defined by OOA based on linear OOA(3163, 34957, F3, 25, 21) (dual of [(34957, 25), 873762, 22]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3163, 69915, F3, 5, 21) (dual of [(69915, 5), 349412, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3163, 69916, F3, 5, 21) (dual of [(69916, 5), 349417, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3163, 69916, F3, 2, 21) (dual of [(69916, 2), 139669, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3163, 88594, F3, 2, 21) (dual of [(88594, 2), 177025, 22]-NRT-code), using
- strength reduction [i] based on linear OOA(3163, 88594, F3, 2, 22) (dual of [(88594, 2), 177025, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3163, 177188, F3, 22) (dual of [177188, 177025, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3122, 177147, F3, 17) (dual of [177147, 177025, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(3163, 177188, F3, 22) (dual of [177188, 177025, 23]-code), using
- strength reduction [i] based on linear OOA(3163, 88594, F3, 2, 22) (dual of [(88594, 2), 177025, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3163, 88594, F3, 2, 21) (dual of [(88594, 2), 177025, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3163, 69916, F3, 2, 21) (dual of [(69916, 2), 139669, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3163, 69916, F3, 5, 21) (dual of [(69916, 5), 349417, 22]-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.