Information on Result #1759633
Digital (226, 253, 65539)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2253, 65539, F2, 8, 27) (dual of [(65539, 8), 524059, 28]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2253, 524312, F2, 27) (dual of [524312, 524059, 28]-code), using
- 4 times code embedding in larger space [i] based on linear OA(2249, 524308, F2, 27) (dual of [524308, 524059, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2248, 524288, F2, 27) (dual of [524288, 524040, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2229, 524288, F2, 25) (dual of [524288, 524059, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(2249, 524308, F2, 27) (dual of [524308, 524059, 28]-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.