Information on Result #1588680
Linear OOA(229, 60, F2, 4, 9) (dual of [(60, 4), 211, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(229, 60, F2, 2, 9) (dual of [(60, 2), 91, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(229, 64, F2, 2, 9) (dual of [(64, 2), 99, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(229, 128, F2, 9) (dual of [128, 99, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 2-folding [i] based on linear OA(229, 128, F2, 9) (dual of [128, 99, 10]-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(2236, 2097210, F2, 4, 18) (dual of [(2097210, 4), 8388604, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2237, 2097210, F2, 4, 19) (dual of [(2097210, 4), 8388603, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(229, 59, F2, 5, 9) (dual of [(59, 5), 266, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(229, 59, F2, 6, 9) (dual of [(59, 6), 325, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(229, 59, F2, 7, 9) (dual of [(59, 7), 384, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(229, 59, F2, 8, 9) (dual of [(59, 8), 443, 10]-NRT-code) | [i] | ||