Information on Result #1730473
Linear OOA(8173, 4683, F8, 45, 39) (dual of [(4683, 45), 210562, 40]-NRT-code), using OOA 7-folding and stacking with additional row based on linear OOA(8173, 32782, F8, 3, 39) (dual of [(32782, 3), 98173, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8173, 32782, F8, 39) (dual of [32782, 32609, 40]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8172, 32780, F8, 39) (dual of [32780, 32608, 40]-code), using
- construction X applied to C([0,19]) ⊂ C([0,18]) [i] based on
- linear OA(8171, 32769, F8, 39) (dual of [32769, 32598, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(8161, 32769, F8, 37) (dual of [32769, 32608, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,19]) ⊂ C([0,18]) [i] based on
- linear OA(8172, 32781, F8, 38) (dual of [32781, 32609, 39]-code), using Gilbert–Varšamov bound and bm = 8172 > Vbs−1(k−1) = 158002 837722 696415 200496 489368 392196 128584 473538 409103 557247 051352 292079 574764 023486 788235 321225 392689 869176 156818 784330 849868 547358 793554 260285 212005 545984 [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(8172, 32780, F8, 39) (dual of [32780, 32608, 40]-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 (134, 173, 4683)-net over F8 | [i] | Net Defined by OOA | |