Information on Result #1727929
Linear OOA(8114, 699065, F8, 21, 18) (dual of [(699065, 21), 14680251, 19]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(8114, 2097196, F8, 3, 18) (dual of [(2097196, 3), 6291474, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 2097196, F8, 18) (dual of [2097196, 2097082, 19]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8113, 2097194, F8, 18) (dual of [2097194, 2097081, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(87, 42, F8, 5) (dual of [42, 35, 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 Ce(17) ⊂ Ce(11) [i] based on
- linear OA(8113, 2097195, F8, 17) (dual of [2097195, 2097082, 18]-code), using Gilbert–Varšamov bound and bm = 8113 > Vbs−1(k−1) = 222403 887578 561040 312467 217876 825338 896621 996501 283819 858536 510723 730367 809214 341161 413392 825129 410866 [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(8113, 2097194, F8, 18) (dual of [2097194, 2097081, 19]-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 (96, 114, 699065)-net over F8 | [i] | Net Defined by OOA | |