Information on Result #1727265
Linear OOA(875, 1048588, F8, 15, 12) (dual of [(1048588, 15), 15728745, 13]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(875, 2097177, F8, 3, 12) (dual of [(2097177, 3), 6291456, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(875, 2097178, F8, 3, 12) (dual of [(2097178, 3), 6291459, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(875, 2097178, F8, 12) (dual of [2097178, 2097103, 13]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(874, 2097176, F8, 12) (dual of [2097176, 2097102, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(83, 24, F8, 2) (dual of [24, 21, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- linear OA(874, 2097177, F8, 11) (dual of [2097177, 2097103, 12]-code), using Gilbert–Varšamov bound and bm = 874 > Vbs−1(k−1) = 128102 361101 264540 908329 698815 640863 772881 568097 645042 242732 791298 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(874, 2097176, F8, 12) (dual of [2097176, 2097102, 13]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(875, 2097178, F8, 12) (dual of [2097178, 2097103, 13]-code), using
Mode: 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 (63, 75, 1048588)-net over F8 | [i] | Net Defined by OOA | |