Information on Result #1728601
Linear OOA(8129, 65547, F8, 27, 23) (dual of [(65547, 27), 1769640, 24]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(8129, 262189, F8, 3, 23) (dual of [(262189, 3), 786438, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8129, 262190, F8, 3, 23) (dual of [(262190, 3), 786441, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8129, 262190, F8, 23) (dual of [262190, 262061, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8128, 262188, F8, 23) (dual of [262188, 262060, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(8121, 262145, F8, 23) (dual of [262145, 262024, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(885, 262145, F8, 17) (dual of [262145, 262060, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 43, F8, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(8128, 262189, F8, 22) (dual of [262189, 262061, 23]-code), using Gilbert–Varšamov bound and bm = 8128 > Vbs−1(k−1) = 6749 025443 628099 510372 654988 035308 115830 934117 715866 198242 501109 679326 114628 469194 238548 162626 151058 843720 371708 [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(8128, 262188, F8, 23) (dual of [262188, 262060, 24]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8129, 262190, F8, 23) (dual of [262190, 262061, 24]-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 (106, 129, 65547)-net over F8 | [i] | Net Defined by OOA | |