Information on Result #1552324
Linear OOA(779, 58827, F7, 3, 16) (dual of [(58827, 3), 176402, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(779, 58827, F7, 2, 16) (dual of [(58827, 2), 117575, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(779, 117654, F7, 16) (dual of [117654, 117575, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(779, 117655, F7, 16) (dual of [117655, 117576, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 6, F7, 0) (dual of [6, 6, 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(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(779, 117655, F7, 16) (dual of [117655, 117576, 17]-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(779, 19608, F7, 21, 16) (dual of [(19608, 21), 411689, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |