Information on Result #1729952
Digital (138, 170, 35067)-net over F8, using net defined by OOA based on linear OOA(8170, 35067, F8, 39, 32) (dual of [(35067, 39), 1367443, 33]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(8170, 210403, F8, 3, 32) (dual of [(210403, 3), 631039, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8170, 210407, F8, 3, 32) (dual of [(210407, 3), 631051, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8170, 210407, F8, 32) (dual of [210407, 210237, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(8170, 262157, F8, 32) (dual of [262157, 261987, 33]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(8169, 262144, F8, 33) (dual of [262144, 261975, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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(81, 13, F8, 1) (dual of [13, 12, 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 Ce(32) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(8170, 262157, F8, 32) (dual of [262157, 261987, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8170, 210407, F8, 32) (dual of [210407, 210237, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(8170, 210407, F8, 3, 32) (dual of [(210407, 3), 631051, 33]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.