Information on Result #638601
Linear OA(7110, 128, F7, 71) (dual of [128, 18, 72]-code), using concatenation of two codes based on
- linear OA(4923, 32, F49, 23) (dual of [32, 9, 24]-code or 32-arc in PG(22,49)), using
- discarding factors / shortening the dual code based on linear OA(4923, 49, F49, 23) (dual of [49, 26, 24]-code or 49-arc in PG(22,49)), using
- Reed–Solomon code RS(26,49) [i]
- discarding factors / shortening the dual code based on linear OA(4923, 49, F49, 23) (dual of [49, 26, 24]-code or 49-arc in PG(22,49)), using
- linear OA(72, 4, F7, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)), using
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- Reed–Solomon code RS(5,7) [i]
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), 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 OA(7110, 128, F7, 70) (dual of [128, 18, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7110, 128, F7, 69) (dual of [128, 18, 70]-code) | [i] | ||
| 3 | Linear OA(7109, 127, F7, 70) (dual of [127, 18, 71]-code) | [i] | Truncation | |
| 4 | Linear OA(7108, 126, F7, 69) (dual of [126, 18, 70]-code) | [i] | ||
| 5 | Linear OA(7107, 125, F7, 68) (dual of [125, 18, 69]-code) | [i] | ||
| 6 | Linear OA(7105, 123, F7, 66) (dual of [123, 18, 67]-code) | [i] | ||
| 7 | Linear OOA(7110, 64, F7, 2, 71) (dual of [(64, 2), 18, 72]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(7110, 42, F7, 3, 71) (dual of [(42, 3), 16, 72]-NRT-code) | [i] | ||