Information on Result #1708284
Digital (31, 42, 109)-net over F2, using net defined by OOA based on linear OOA(242, 109, F2, 15, 11) (dual of [(109, 15), 1593, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(242, 110, F2, 5, 11) (dual of [(110, 5), 508, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(242, 110, F2, 2, 11) (dual of [(110, 2), 178, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(242, 132, F2, 2, 11) (dual of [(132, 2), 222, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(242, 264, F2, 11) (dual of [264, 222, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(242, 265, F2, 11) (dual of [265, 223, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(241, 256, F2, 11) (dual of [256, 215, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(233, 256, F2, 9) (dual of [256, 223, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 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(10) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(242, 265, F2, 11) (dual of [265, 223, 12]-code), using
- OOA 2-folding [i] based on linear OA(242, 264, F2, 11) (dual of [264, 222, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(242, 132, F2, 2, 11) (dual of [(132, 2), 222, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(242, 110, F2, 2, 11) (dual of [(110, 2), 178, 12]-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.