Information on Result #1710856
Digital (124, 149, 522)-net over F2, using net defined by OOA based on linear OOA(2149, 522, F2, 30, 25) (dual of [(522, 30), 15511, 26]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2149, 1045, F2, 6, 25) (dual of [(1045, 6), 6121, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2149, 1045, F2, 3, 25) (dual of [(1045, 3), 2986, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2149, 1370, F2, 3, 25) (dual of [(1370, 3), 3961, 26]-NRT-code), using
- 22 times duplication [i] based on linear OOA(2147, 1370, F2, 3, 25) (dual of [(1370, 3), 3963, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2147, 4110, F2, 25) (dual of [4110, 3963, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2146, 4109, F2, 25) (dual of [4109, 3963, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2145, 4096, F2, 25) (dual of [4096, 3951, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2133, 4096, F2, 23) (dual of [4096, 3963, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 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
- 1 times code embedding in larger space [i] based on linear OA(2146, 4109, F2, 25) (dual of [4109, 3963, 26]-code), using
- OOA 3-folding [i] based on linear OA(2147, 4110, F2, 25) (dual of [4110, 3963, 26]-code), using
- 22 times duplication [i] based on linear OOA(2147, 1370, F2, 3, 25) (dual of [(1370, 3), 3963, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2149, 1370, F2, 3, 25) (dual of [(1370, 3), 3961, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2149, 1045, F2, 3, 25) (dual of [(1045, 3), 2986, 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.