Information on Result #610357
Linear OA(3138, 140, F3, 104) (dual of [140, 2, 105]-code), using repeating each code word 35 times based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(3138, 140, F3, 103) (dual of [140, 2, 104]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3138, 140, F3, 102) (dual of [140, 2, 103]-code) | [i] | ||
| 3 | Linear OA(3138, 140, F3, 101) (dual of [140, 2, 102]-code) | [i] | ||
| 4 | Linear OA(3138, 140, F3, 100) (dual of [140, 2, 101]-code) | [i] | ||
| 5 | Linear OA(3138, 140, F3, 99) (dual of [140, 2, 100]-code) | [i] | ||
| 6 | Linear OA(3138, 140, F3, 98) (dual of [140, 2, 99]-code) | [i] | ||
| 7 | Linear OA(3138, 140, F3, 97) (dual of [140, 2, 98]-code) | [i] | ||
| 8 | Linear OA(3137, 139, F3, 103) (dual of [139, 2, 104]-code) | [i] | Truncation | |
| 9 | Linear OA(3136, 138, F3, 102) (dual of [138, 2, 103]-code) | [i] | ||
| 10 | Linear OA(3135, 137, F3, 101) (dual of [137, 2, 102]-code) | [i] | ||
| 11 | Linear OA(3133, 135, F3, 99) (dual of [135, 2, 100]-code) | [i] | ||
| 12 | Linear OA(3132, 134, F3, 98) (dual of [134, 2, 99]-code) | [i] | ||
| 13 | Linear OA(3131, 133, F3, 97) (dual of [133, 2, 98]-code) | [i] | ||
| 14 | Linear OA(3129, 131, F3, 95) (dual of [131, 2, 96]-code) | [i] | ||
| 15 | Linear OA(3128, 130, F3, 94) (dual of [130, 2, 95]-code) | [i] | ||
| 16 | Linear OA(3127, 129, F3, 93) (dual of [129, 2, 94]-code) | [i] | ||
| 17 | Linear OA(3125, 127, F3, 91) (dual of [127, 2, 92]-code) | [i] | ||
| 18 | Linear OA(3124, 126, F3, 90) (dual of [126, 2, 91]-code) | [i] | ||
| 19 | Linear OA(3123, 125, F3, 89) (dual of [125, 2, 90]-code) | [i] | ||
| 20 | Linear OA(3121, 123, F3, 87) (dual of [123, 2, 88]-code) | [i] | ||
| 21 | Linear OA(3120, 122, F3, 86) (dual of [122, 2, 87]-code) | [i] | ||
| 22 | Linear OA(3119, 121, F3, 85) (dual of [121, 2, 86]-code) | [i] | ||
| 23 | Linear OA(3117, 119, F3, 83) (dual of [119, 2, 84]-code) | [i] | ||
| 24 | Linear OA(3116, 118, F3, 82) (dual of [118, 2, 83]-code) | [i] | ||
| 25 | Linear OA(3115, 117, F3, 81) (dual of [117, 2, 82]-code) | [i] | ||
| 26 | Linear OOA(3138, 70, F3, 2, 104) (dual of [(70, 2), 2, 105]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(3138, 28, F3, 5, 104) (dual of [(28, 5), 2, 105]-NRT-code) | [i] | ||