Information on Result #1727966
Digital (52, 71, 1434)-net over F8, using net defined by OOA based on linear OOA(871, 1434, F8, 21, 19) (dual of [(1434, 21), 30043, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(871, 4303, F8, 3, 19) (dual of [(4303, 3), 12838, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(871, 4305, F8, 3, 19) (dual of [(4305, 3), 12844, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(871, 4305, F8, 19) (dual of [4305, 4234, 20]-code), using
- 194 step Varšamov–Edel lengthening with (ri) = (2, 4 times 0, 1, 16 times 0, 1, 47 times 0, 1, 123 times 0) [i] based on linear OA(866, 4106, F8, 19) (dual of [4106, 4040, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(865, 4097, F8, 19) (dual of [4097, 4032, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(857, 4097, F8, 17) (dual of [4097, 4040, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- 194 step Varšamov–Edel lengthening with (ri) = (2, 4 times 0, 1, 16 times 0, 1, 47 times 0, 1, 123 times 0) [i] based on linear OA(866, 4106, F8, 19) (dual of [4106, 4040, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(871, 4305, F8, 19) (dual of [4305, 4234, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(871, 4305, F8, 3, 19) (dual of [(4305, 3), 12844, 20]-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.