Information on Result #1552969
Linear OOA(797, 10547, F7, 3, 23) (dual of [(10547, 3), 31544, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(797, 10547, F7, 23) (dual of [10547, 10450, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(797, 16813, F7, 23) (dual of [16813, 16716, 24]-code), using
- 1 times code embedding in larger space [i] based on linear OA(796, 16812, F7, 23) (dual of [16812, 16716, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(796, 16812, F7, 23) (dual of [16812, 16716, 24]-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(797, 2636, F7, 27, 23) (dual of [(2636, 27), 71075, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |