Information on Result #1562516
Linear OOA(9133, 4222782, F9, 3, 21) (dual of [(4222782, 3), 12668213, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9133, 4222782, F9, 21) (dual of [4222782, 4222649, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9133, 4783003, F9, 21) (dual of [4783003, 4782870, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(96, 34, F9, 4) (dual of [34, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [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(9133, 1055695, F9, 27, 21) (dual of [(1055695, 27), 28503632, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |