Information on Result #1755060
Digital (171, 197, 6416)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2197, 6416, F2, 5, 26) (dual of [(6416, 5), 31883, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2197, 6556, F2, 5, 26) (dual of [(6556, 5), 32583, 27]-NRT-code), using
- strength reduction [i] based on linear OOA(2197, 6556, F2, 5, 27) (dual of [(6556, 5), 32583, 28]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2197, 32780, F2, 27) (dual of [32780, 32583, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2197, 32784, F2, 27) (dual of [32784, 32587, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2196, 32768, F2, 27) (dual of [32768, 32572, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2181, 32768, F2, 25) (dual of [32768, 32587, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(26) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(2197, 32784, F2, 27) (dual of [32784, 32587, 28]-code), using
- OOA 5-folding [i] based on linear OA(2197, 32780, F2, 27) (dual of [32780, 32583, 28]-code), using
- strength reduction [i] based on linear OOA(2197, 6556, F2, 5, 27) (dual of [(6556, 5), 32583, 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.