Information on Result #1804047
Digital (24, 51, 280)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2551, 280, F25, 2, 27) (dual of [(280, 2), 509, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2551, 313, F25, 2, 27) (dual of [(313, 2), 575, 28]-NRT-code), using
- 251 times duplication [i] based on linear OOA(2550, 313, F25, 2, 27) (dual of [(313, 2), 576, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2550, 626, F25, 27) (dual of [626, 576, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(2550, 625, F25, 27) (dual of [625, 575, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(250, 1, F25, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(2550, 626, F25, 27) (dual of [626, 576, 28]-code), using
- 251 times duplication [i] based on linear OOA(2550, 313, F25, 2, 27) (dual of [(313, 2), 576, 28]-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.