Information on Result #1444987
Linear OOA(8106, 262185, F8, 2, 19) (dual of [(262185, 2), 524264, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8106, 262185, F8, 19) (dual of [262185, 262079, 20]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8104, 262181, F8, 19) (dual of [262181, 262077, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] based on
- linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(867, 262144, F8, 13) (dual of [262144, 262077, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(18) ⊂ Ce(12) [i] based on
- linear OA(8104, 262183, F8, 18) (dual of [262183, 262079, 19]-code), using Gilbert–Varšamov bound and bm = 8104 > Vbs−1(k−1) = 85 433014 311321 246639 375757 339977 814828 139860 345653 082245 067183 870574 296017 643039 030139 004442 [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(8104, 262181, F8, 19) (dual of [262181, 262077, 20]-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(8106, 131092, F8, 3, 19) (dual of [(131092, 3), 393170, 20]-NRT-code) | [i] | OOA Folding | |