Information on Result #1727806
Digital (90, 107, 699065)-net over F8, using net defined by OOA based on linear OOA(8107, 699065, F8, 21, 17) (dual of [(699065, 21), 14680258, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8107, 2097196, F8, 3, 17) (dual of [(2097196, 3), 6291481, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8107, 2097196, F8, 17) (dual of [2097196, 2097089, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8106, 2097194, F8, 17) (dual of [2097194, 2097088, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(16) ⊂ Ce(10) [i] based on
- linear OA(8106, 2097195, F8, 16) (dual of [2097195, 2097089, 17]-code), using Gilbert–Varšamov bound and bm = 8106 > Vbs−1(k−1) = 242397 863228 728550 910307 342130 361333 491855 451064 309324 384828 313720 544126 462786 727011 067084 598832 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 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
- linear OA(8106, 2097194, F8, 17) (dual of [2097194, 2097088, 18]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8107, 2097196, F8, 17) (dual of [2097196, 2097089, 18]-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.