Information on Result #1710834
Digital (109, 134, 312)-net over F2, using net defined by OOA based on linear OOA(2134, 312, F2, 30, 25) (dual of [(312, 30), 9226, 26]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2134, 625, F2, 6, 25) (dual of [(625, 6), 3616, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2134, 625, F2, 3, 25) (dual of [(625, 3), 1741, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2134, 686, F2, 3, 25) (dual of [(686, 3), 1924, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2134, 2058, F2, 25) (dual of [2058, 1924, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2134, 2060, F2, 25) (dual of [2060, 1926, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2133, 2048, F2, 25) (dual of [2048, 1915, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2122, 2048, F2, 23) (dual of [2048, 1926, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 12, F2, 1) (dual of [12, 11, 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(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(2134, 2060, F2, 25) (dual of [2060, 1926, 26]-code), using
- OOA 3-folding [i] based on linear OA(2134, 2058, F2, 25) (dual of [2058, 1924, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(2134, 686, F2, 3, 25) (dual of [(686, 3), 1924, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2134, 625, F2, 3, 25) (dual of [(625, 3), 1741, 26]-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.