Information on Result #1751801
Digital (114, 143, 417)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2143, 417, F2, 2, 29) (dual of [(417, 2), 691, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2143, 522, F2, 2, 29) (dual of [(522, 2), 901, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2143, 1044, F2, 29) (dual of [1044, 901, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2143, 1045, F2, 29) (dual of [1045, 902, 30]-code), using
- construction XX applied to C1 = C([1021,24]), C2 = C([0,26]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([1021,26]) [i] based on
- linear OA(2131, 1023, F2, 27) (dual of [1023, 892, 28]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−2,−1,…,24}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2131, 1023, F2, 27) (dual of [1023, 892, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2141, 1023, F2, 29) (dual of [1023, 882, 30]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−2,−1,…,26}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2121, 1023, F2, 25) (dual of [1023, 902, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 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
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code) (see above)
- construction XX applied to C1 = C([1021,24]), C2 = C([0,26]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([1021,26]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2143, 1045, F2, 29) (dual of [1045, 902, 30]-code), using
- OOA 2-folding [i] based on linear OA(2143, 1044, F2, 29) (dual of [1044, 901, 30]-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.