Information on Result #1554389
Linear OOA(871, 2097216, F8, 3, 11) (dual of [(2097216, 3), 6291577, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(871, 2097216, F8, 11) (dual of [2097216, 2097145, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(864, 2097159, F8, 11) (dual of [2097159, 2097095, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- 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(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 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
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
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(871, 1048607, F8, 15, 11) (dual of [(1048607, 15), 15729034, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |