Information on Result #689053
Linear OA(9133, 4783003, F9, 21) (dual of [4783003, 4782870, 22]-code), using construction X applied to Ce(20) ⊂ Ce(15) 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
Mode: Constructive and 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(9133, 4222782, F9, 2, 21) (dual of [(4222782, 2), 8445431, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9133, 4222782, F9, 3, 21) (dual of [(4222782, 3), 12668213, 22]-NRT-code) | [i] | ||
| 3 | Digital (112, 133, 4222782)-net over F9 | [i] | ||
| 4 | Linear OOA(9133, 2391501, F9, 2, 21) (dual of [(2391501, 2), 4782869, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9133, 1594334, F9, 3, 21) (dual of [(1594334, 3), 4782869, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(9133, 478300, F9, 21, 21) (dual of [(478300, 21), 10044167, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |