Information on Result #1563279
Linear OOA(9147, 48412, F9, 3, 33) (dual of [(48412, 3), 145089, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9147, 48412, F9, 33) (dual of [48412, 48265, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(9147, 59060, F9, 33) (dual of [59060, 58913, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(9146, 59049, F9, 33) (dual of [59049, 58903, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(9136, 59049, F9, 31) (dual of [59049, 58913, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
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(9147, 8068, F9, 39, 33) (dual of [(8068, 39), 314505, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |