Information on Result #1555412
Linear OOA(8103, 2097184, F8, 3, 16) (dual of [(2097184, 3), 6291449, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8103, 2097184, F8, 16) (dual of [2097184, 2097081, 17]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [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(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(84, 32, F8, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,8)), 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(8103, 699061, F8, 21, 16) (dual of [(699061, 21), 14680178, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |