Information on Result #1729711
Linear OOA(8164, 52436, F8, 33, 30) (dual of [(52436, 33), 1730224, 31]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(8164, 262181, F8, 3, 30) (dual of [(262181, 3), 786379, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8164, 262182, F8, 3, 30) (dual of [(262182, 3), 786382, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8164, 262182, F8, 30) (dual of [262182, 262018, 31]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8163, 262180, F8, 30) (dual of [262180, 262017, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(8157, 262144, F8, 30) (dual of [262144, 261987, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(86, 36, F8, 4) (dual of [36, 30, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(8163, 262181, F8, 29) (dual of [262181, 262018, 30]-code), using Gilbert–Varšamov bound and bm = 8163 > Vbs−1(k−1) = 79 208613 456124 726007 723702 911765 748373 906861 775586 397681 248136 821173 319858 715584 197721 624928 115251 040669 124668 682055 246236 630910 042747 801255 505832 [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(8163, 262180, F8, 30) (dual of [262180, 262017, 31]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8164, 262182, F8, 30) (dual of [262182, 262018, 31]-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 (134, 164, 52436)-net over F8 | [i] | Net Defined by OOA | |