Information on Result #1553406
Linear OOA(7107, 449938, F7, 3, 18) (dual of [(449938, 3), 1349707, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7107, 449938, F7, 18) (dual of [449938, 449831, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(7107, 823558, F7, 18) (dual of [823558, 823451, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(7106, 823543, F7, 18) (dual of [823543, 823437, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(71, 15, F7, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(15) [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(7107, 149979, F7, 21, 18) (dual of [(149979, 21), 3149452, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |