Information on Result #610049
Linear OA(2172, 175, F2, 99) (dual of [175, 3, 100]-code), using repeating each code word 25 times based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2172, 175, F2, 98) (dual of [175, 3, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2172, 175, F2, 97) (dual of [175, 3, 98]-code) | [i] | ||
| 3 | Linear OA(2172, 175, F2, 96) (dual of [175, 3, 97]-code) | [i] | ||
| 4 | Linear OA(2172, 175, F2, 95) (dual of [175, 3, 96]-code) | [i] | ||
| 5 | Linear OA(2172, 175, F2, 94) (dual of [175, 3, 95]-code) | [i] | ||
| 6 | Linear OA(2172, 175, F2, 93) (dual of [175, 3, 94]-code) | [i] | ||
| 7 | Linear OA(2173, 176, F2, 99) (dual of [176, 3, 100]-code) | [i] | Code Embedding in Larger Space | |
| 8 | Linear OA(2171, 174, F2, 98) (dual of [174, 3, 99]-code) | [i] | Truncation | |
| 9 | Linear OA(2170, 173, F2, 97) (dual of [173, 3, 98]-code) | [i] | ||
| 10 | Linear OA(2168, 171, F2, 95) (dual of [171, 3, 96]-code) | [i] | ||
| 11 | Linear OA(2167, 170, F2, 94) (dual of [170, 3, 95]-code) | [i] | ||
| 12 | Linear OA(2166, 169, F2, 93) (dual of [169, 3, 94]-code) | [i] | ||
| 13 | Linear OA(2164, 167, F2, 91) (dual of [167, 3, 92]-code) | [i] | ||
| 14 | Linear OA(2163, 166, F2, 90) (dual of [166, 3, 91]-code) | [i] | ||
| 15 | Linear OA(2161, 164, F2, 88) (dual of [164, 3, 89]-code) | [i] | ||
| 16 | Linear OA(2160, 163, F2, 87) (dual of [163, 3, 88]-code) | [i] | ||
| 17 | Linear OA(2159, 162, F2, 86) (dual of [162, 3, 87]-code) | [i] | ||
| 18 | Linear OOA(2172, 35, F2, 5, 99) (dual of [(35, 5), 3, 100]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(2172, 25, F2, 7, 99) (dual of [(25, 7), 3, 100]-NRT-code) | [i] | ||