Information on Result #1452063
Linear OOA(9134, 531479, F9, 2, 24) (dual of [(531479, 2), 1062824, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9134, 531479, F9, 24) (dual of [531479, 531345, 25]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9133, 531477, F9, 24) (dual of [531477, 531344, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(18) [i] based on
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(96, 36, F9, 4) (dual of [36, 30, 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(23) ⊂ Ce(18) [i] based on
- linear OA(9133, 531478, F9, 23) (dual of [531478, 531345, 24]-code), using Gilbert–Varšamov bound and bm = 9133 > Vbs−1(k−1) = 59935 627021 232464 432238 069863 769452 753469 523473 880026 071343 965702 015384 376197 621050 816100 900892 161868 963125 419863 785543 010601 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(9133, 531477, F9, 24) (dual of [531477, 531344, 25]-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(9134, 265739, F9, 3, 24) (dual of [(265739, 3), 797083, 25]-NRT-code) | [i] | OOA Folding | |