Information on Result #913183
Linear OOA(3212, 136, F3, 2, 99) (dual of [(136, 2), 60, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(8119, 34, F81, 19) (dual of [34, 15, 20]-code or 34-arc in PG(18,81)), using
- discarding factors / shortening the dual code based on linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using
- Reed–Solomon code RS(62,81) [i]
- discarding factors / shortening the dual code based on linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using
- linear OOA(34, 4, F3, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,3) [i]
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(3212, 136, F3, 2, 98) (dual of [(136, 2), 60, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3212, 136, F3, 2, 97) (dual of [(136, 2), 60, 98]-NRT-code) | [i] | ||
| 3 | Linear OOA(3212, 136, F3, 2, 96) (dual of [(136, 2), 60, 97]-NRT-code) | [i] | ||
| 4 | Linear OOA(3214, 137, F3, 2, 99) (dual of [(137, 2), 60, 100]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3213, 136, F3, 2, 99) (dual of [(136, 2), 59, 100]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3211, 135, F3, 2, 98) (dual of [(135, 2), 59, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3210, 135, F3, 2, 97) (dual of [(135, 2), 60, 98]-NRT-code) | [i] | ||
| 8 | Linear OOA(3209, 134, F3, 2, 96) (dual of [(134, 2), 59, 97]-NRT-code) | [i] | ||
| 9 | Linear OOA(3208, 134, F3, 2, 95) (dual of [(134, 2), 60, 96]-NRT-code) | [i] | ||
| 10 | Linear OOA(3207, 133, F3, 2, 94) (dual of [(133, 2), 59, 95]-NRT-code) | [i] | ||
| 11 | Linear OOA(3206, 133, F3, 2, 93) (dual of [(133, 2), 60, 94]-NRT-code) | [i] | ||
| 12 | Linear OOA(3205, 132, F3, 2, 92) (dual of [(132, 2), 59, 93]-NRT-code) | [i] | ||
| 13 | Linear OOA(3203, 131, F3, 2, 90) (dual of [(131, 2), 59, 91]-NRT-code) | [i] | ||
| 14 | Linear OOA(3212, 68, F3, 4, 99) (dual of [(68, 4), 60, 100]-NRT-code) | [i] | OOA Folding | |