Information on Result #1734913
Linear OOA(16108, 174768, F16, 26, 22) (dual of [(174768, 26), 4543860, 23]-NRT-code), using OOA 6-folding and stacking with additional row based on linear OOA(16108, 1048609, F16, 2, 22) (dual of [(1048609, 2), 2097110, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16108, 1048609, F16, 22) (dual of [1048609, 1048501, 23]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(16107, 1048607, F16, 22) (dual of [1048607, 1048500, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(166, 31, F16, 4) (dual of [31, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(166, 240, F16, 4) (dual of [240, 234, 5]-code), using
- 1 times truncation [i] based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(166, 240, F16, 4) (dual of [240, 234, 5]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(16107, 1048608, F16, 21) (dual of [1048608, 1048501, 22]-code), using Gilbert–Varšamov bound and bm = 16107 > Vbs−1(k−1) = 353083 542769 778286 159053 903292 879633 438608 513276 807321 841008 434469 923162 797377 314897 661381 438096 266443 145068 147955 837072 963831 [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(16107, 1048607, F16, 22) (dual of [1048607, 1048500, 23]-code), using
- construction X with Varšamov bound [i] based on
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 (86, 108, 174768)-net over F16 | [i] | Net Defined by OOA | |