Information on Result #1447983
Linear OOA(8160, 262185, F8, 2, 29) (dual of [(262185, 2), 524210, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8160, 262185, F8, 29) (dual of [262185, 262025, 30]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8158, 262181, F8, 29) (dual of [262181, 262023, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(8121, 262144, F8, 23) (dual of [262144, 262023, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 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(28) ⊂ Ce(22) [i] based on
- linear OA(8158, 262183, F8, 28) (dual of [262183, 262025, 29]-code), using Gilbert–Varšamov bound and bm = 8158 > Vbs−1(k−1) = 1208 834336 097838 546524 035983 011939 373540 406741 366085 051785 308697 721062 624859 671024 556156 718917 303882 665123 450716 445225 462965 101970 502167 114728 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 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(8158, 262181, F8, 29) (dual of [262181, 262023, 30]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8160, 131092, F8, 3, 29) (dual of [(131092, 3), 393116, 30]-NRT-code) | [i] | OOA Folding | |