Information on Result #1712092
Digital (224, 258, 1962)-net over F2, using net defined by OOA based on linear OOA(2258, 1962, F2, 42, 34) (dual of [(1962, 42), 82146, 35]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2258, 5887, F2, 6, 34) (dual of [(5887, 6), 35064, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2258, 5889, F2, 6, 34) (dual of [(5889, 6), 35076, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2258, 5889, F2, 5, 34) (dual of [(5889, 5), 29187, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2258, 6557, F2, 5, 34) (dual of [(6557, 5), 32527, 35]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2258, 32785, F2, 34) (dual of [32785, 32527, 35]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2256, 32783, F2, 34) (dual of [32783, 32527, 35]-code), using
- 1 times truncation [i] based on linear OA(2257, 32784, F2, 35) (dual of [32784, 32527, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- linear OA(2256, 32768, F2, 35) (dual of [32768, 32512, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2241, 32768, F2, 33) (dual of [32768, 32527, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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(34) ⊂ Ce(32) [i] based on
- 1 times truncation [i] based on linear OA(2257, 32784, F2, 35) (dual of [32784, 32527, 36]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2256, 32783, F2, 34) (dual of [32783, 32527, 35]-code), using
- OOA 5-folding [i] based on linear OA(2258, 32785, F2, 34) (dual of [32785, 32527, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(2258, 6557, F2, 5, 34) (dual of [(6557, 5), 32527, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2258, 5889, F2, 5, 34) (dual of [(5889, 5), 29187, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2258, 5889, F2, 6, 34) (dual of [(5889, 6), 35076, 35]-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.