Information on Result #1730714
Digital (15, 22, 1193)-net over F9, using net defined by OOA based on linear OOA(922, 1193, F9, 9, 7) (dual of [(1193, 9), 10715, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(922, 1194, F9, 3, 7) (dual of [(1194, 3), 3560, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(922, 1194, F9, 7) (dual of [1194, 1172, 8]-code), using
- 457 step Varšamov–Edel lengthening with (ri) = (1, 20 times 0, 1, 120 times 0, 1, 314 times 0) [i] based on linear OA(919, 734, F9, 7) (dual of [734, 715, 8]-code), using
- construction XX applied to C1 = C([727,4]), C2 = C([0,5]), C3 = C1 + C2 = C([0,4]), and C∩ = C1 ∩ C2 = C([727,5]) [i] based on
- linear OA(916, 728, F9, 6) (dual of [728, 712, 7]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(916, 728, F9, 6) (dual of [728, 712, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(919, 728, F9, 7) (dual of [728, 709, 8]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(913, 728, F9, 5) (dual of [728, 715, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [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([727,4]), C2 = C([0,5]), C3 = C1 + C2 = C([0,4]), and C∩ = C1 ∩ C2 = C([727,5]) [i] based on
- 457 step Varšamov–Edel lengthening with (ri) = (1, 20 times 0, 1, 120 times 0, 1, 314 times 0) [i] based on linear OA(919, 734, F9, 7) (dual of [734, 715, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(922, 1194, F9, 7) (dual of [1194, 1172, 8]-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.