Information on Result #1756466
Digital (186, 216, 3597)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2216, 3597, F2, 4, 30) (dual of [(3597, 4), 14172, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2216, 4103, F2, 4, 30) (dual of [(4103, 4), 16196, 31]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2216, 16412, F2, 30) (dual of [16412, 16196, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2216, 16415, F2, 30) (dual of [16415, 16199, 31]-code), using
- 1 times truncation [i] based on linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(2211, 16384, F2, 31) (dual of [16384, 16173, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- 1 times truncation [i] based on linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2216, 16415, F2, 30) (dual of [16415, 16199, 31]-code), using
- OOA 4-folding [i] based on linear OA(2216, 16412, F2, 30) (dual of [16412, 16196, 31]-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.