Information on Result #1720038
Digital (157, 186, 9712)-net over F4, using net defined by OOA based on linear OOA(4186, 9712, F4, 33, 29) (dual of [(9712, 33), 320310, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4186, 48561, F4, 3, 29) (dual of [(48561, 3), 145497, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4186, 48565, F4, 3, 29) (dual of [(48565, 3), 145509, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4186, 48565, F4, 29) (dual of [48565, 48379, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4186, 65556, F4, 29) (dual of [65556, 65370, 30]-code), using
- (u, u+v)-construction [i] based on
- linear OA(417, 20, F4, 14) (dual of [20, 3, 15]-code), using
- 1 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- Simplex code S(3,4) [i]
- 1 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(417, 20, F4, 14) (dual of [20, 3, 15]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4186, 65556, F4, 29) (dual of [65556, 65370, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4186, 48565, F4, 29) (dual of [48565, 48379, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(4186, 48565, F4, 3, 29) (dual of [(48565, 3), 145509, 30]-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.