Information on Result #941629
Linear OOA(2152, 78, F2, 2, 101) (dual of [(78, 2), 4, 102]-NRT-code), using juxtaposition based on
- linear OOA(24, 4, F2, 2, 3) (dual of [(4, 2), 4, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(24, 7, F2, 2, 3) (dual of [(7, 2), 10, 4]-NRT-code), using
- linear OOA(2144, 74, F2, 2, 97) (dual of [(74, 2), 4, 98]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2146, 75, F2, 2, 99) (dual of [(75, 2), 4, 100]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [i]
- linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- concatenation of two NRT-codes [i] based on
- 2 step truncation [i] based on linear OOA(2146, 75, F2, 2, 99) (dual of [(75, 2), 4, 100]-NRT-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(2152, 78, F2, 2, 100) (dual of [(78, 2), 4, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2152, 78, F2, 2, 99) (dual of [(78, 2), 4, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(2152, 78, F2, 2, 98) (dual of [(78, 2), 4, 99]-NRT-code) | [i] | ||
| 4 | Linear OOA(2152, 78, F2, 2, 97) (dual of [(78, 2), 4, 98]-NRT-code) | [i] | ||
| 5 | Linear OOA(2152, 39, F2, 4, 101) (dual of [(39, 4), 4, 102]-NRT-code) | [i] | OOA Folding | |