Information on Result #1729418
Digital (127, 155, 52437)-net over F8, using net defined by OOA based on linear OOA(8155, 52437, F8, 33, 28) (dual of [(52437, 33), 1730266, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8155, 262186, F8, 3, 28) (dual of [(262186, 3), 786403, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8155, 262190, F8, 3, 28) (dual of [(262190, 3), 786415, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8155, 262190, F8, 28) (dual of [262190, 262035, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(810, 46, F8, 6) (dual of [46, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8155, 262190, F8, 28) (dual of [262190, 262035, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(8155, 262190, F8, 3, 28) (dual of [(262190, 3), 786415, 29]-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.