Information on Result #1730838
Digital (18, 27, 415)-net over F9, using net defined by OOA based on linear OOA(927, 415, F9, 10, 9) (dual of [(415, 10), 4123, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(927, 831, F9, 2, 9) (dual of [(831, 2), 1635, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(927, 831, F9, 9) (dual of [831, 804, 10]-code), using
- 95 step Varšamov–Edel lengthening with (ri) = (1, 13 times 0, 1, 80 times 0) [i] based on linear OA(925, 734, F9, 9) (dual of [734, 709, 10]-code), using
- construction XX applied to C1 = C([727,6]), C2 = C([0,7]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([727,7]) [i] based on
- linear OA(922, 728, F9, 8) (dual of [728, 706, 9]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(922, 728, F9, 8) (dual of [728, 706, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(925, 728, F9, 9) (dual of [728, 703, 10]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,7}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(919, 728, F9, 7) (dual of [728, 709, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code) (see above)
- construction XX applied to C1 = C([727,6]), C2 = C([0,7]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([727,7]) [i] based on
- 95 step Varšamov–Edel lengthening with (ri) = (1, 13 times 0, 1, 80 times 0) [i] based on linear OA(925, 734, F9, 9) (dual of [734, 709, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(927, 831, F9, 9) (dual of [831, 804, 10]-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.