Information on Result #1727862
Digital (59, 77, 6306)-net over F8, using net defined by OOA based on linear OOA(877, 6306, F8, 21, 18) (dual of [(6306, 21), 132349, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(877, 18919, F8, 3, 18) (dual of [(18919, 3), 56680, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(877, 18919, F8, 18) (dual of [18919, 18842, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(877, 32774, F8, 18) (dual of [32774, 32697, 19]-code), using
- 1 times code embedding in larger space [i] based on linear OA(876, 32773, F8, 18) (dual of [32773, 32697, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 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
- 1 times code embedding in larger space [i] based on linear OA(876, 32773, F8, 18) (dual of [32773, 32697, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(877, 32774, F8, 18) (dual of [32774, 32697, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(877, 18919, F8, 18) (dual of [18919, 18842, 19]-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.