Information on Result #1553500
Linear OOA(7109, 3331449, F7, 3, 16) (dual of [(3331449, 3), 9994238, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7109, 3331449, F7, 16) (dual of [3331449, 3331340, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(7109, 5764829, F7, 16) (dual of [5764829, 5764720, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(7105, 5764801, F7, 16) (dual of [5764801, 5764696, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(7109, 1110482, F7, 21, 16) (dual of [(1110482, 21), 23320013, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |