Information on Result #1727928
Digital (95, 113, 679121)-net over F8, using net defined by OOA based on linear OOA(8113, 679121, F8, 21, 18) (dual of [(679121, 21), 14261428, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8113, 2037364, F8, 3, 18) (dual of [(2037364, 3), 6111979, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8113, 2037364, F8, 18) (dual of [2037364, 2037251, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, 2097194, F8, 18) (dual of [2097194, 2097081, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(8113, 2097194, F8, 18) (dual of [2097194, 2097081, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8113, 2037364, F8, 18) (dual of [2037364, 2037251, 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.