Information on Result #1191463
Linear OOA(8108, 2927273, F8, 15, 11) (dual of [(2927273, 15), 43908987, 12]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(8108, 5854547, F8, 3, 11) (dual of [(5854547, 3), 17563533, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8108, 5854548, F8, 3, 11) (dual of [(5854548, 3), 17563536, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(826, 262146, F8, 3, 5) (dual of [(262146, 3), 786412, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(826, 524293, F8, 5) (dual of [524293, 524267, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(826, 524294, F8, 5) (dual of [524294, 524268, 6]-code), using
- trace code [i] based on linear OA(6413, 262147, F64, 5) (dual of [262147, 262134, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(6413, 262144, F64, 5) (dual of [262144, 262131, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(6410, 262144, F64, 4) (dual of [262144, 262134, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- trace code [i] based on linear OA(6413, 262147, F64, 5) (dual of [262147, 262134, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(826, 524294, F8, 5) (dual of [524294, 524268, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(826, 524293, F8, 5) (dual of [524293, 524267, 6]-code), using
- linear OOA(882, 5592402, F8, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- trace code [i] based on linear OOA(6441, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- trace code [i] based on linear OOA(6441, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- linear OOA(826, 262146, F8, 3, 5) (dual of [(262146, 3), 786412, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (97, 108, 2927273)-net over F8 | [i] | Net Defined by OOA | |