Information on Result #1727844
Digital (50, 68, 1482)-net over F8, using net defined by OOA based on linear OOA(868, 1482, F8, 21, 18) (dual of [(1482, 21), 31054, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(868, 4447, F8, 3, 18) (dual of [(4447, 3), 13273, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(868, 4448, F8, 3, 18) (dual of [(4448, 3), 13276, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(868, 4448, F8, 18) (dual of [4448, 4380, 19]-code), using
- 341 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 0, 1, 10 times 0, 1, 32 times 0, 1, 86 times 0, 1, 204 times 0) [i] based on linear OA(861, 4100, F8, 18) (dual of [4100, 4039, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(861, 4096, F8, 18) (dual of [4096, 4035, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(857, 4096, F8, 17) (dual of [4096, 4039, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- 341 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 0, 1, 10 times 0, 1, 32 times 0, 1, 86 times 0, 1, 204 times 0) [i] based on linear OA(861, 4100, F8, 18) (dual of [4100, 4039, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(868, 4448, F8, 18) (dual of [4448, 4380, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(868, 4448, F8, 3, 18) (dual of [(4448, 3), 13276, 19]-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.