Information on Result #1795915
Digital (126, 154, 262185)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8154, 262185, F8, 28) (dual of [262185, 262031, 29]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8152, 262181, F8, 28) (dual of [262181, 262029, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 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(27) ⊂ Ce(21) [i] based on
- linear OA(8152, 262183, F8, 27) (dual of [262183, 262031, 28]-code), using Gilbert–Varšamov bound and bm = 8152 > Vbs−1(k−1) = 17785 761851 102739 965960 639017 358760 850389 931996 062975 440384 068784 639672 565918 688587 311572 615128 653190 623440 773400 377593 093192 982311 442712 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 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(8152, 262181, F8, 28) (dual of [262181, 262029, 29]-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.