Information on Result #610339
Linear OA(3210, 212, F3, 158) (dual of [212, 2, 159]-code), using repeating each code word 53 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(3210, 212, F3, 157) (dual of [212, 2, 158]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3210, 212, F3, 156) (dual of [212, 2, 157]-code) | [i] | ||
| 3 | Linear OA(3210, 212, F3, 155) (dual of [212, 2, 156]-code) | [i] | ||
| 4 | Linear OA(3210, 212, F3, 154) (dual of [212, 2, 155]-code) | [i] | ||
| 5 | Linear OA(3210, 212, F3, 153) (dual of [212, 2, 154]-code) | [i] | ||
| 6 | Linear OA(3210, 212, F3, 152) (dual of [212, 2, 153]-code) | [i] | ||
| 7 | Linear OA(3210, 212, F3, 151) (dual of [212, 2, 152]-code) | [i] | ||
| 8 | Linear OA(3210, 212, F3, 150) (dual of [212, 2, 151]-code) | [i] | ||
| 9 | Linear OA(3210, 212, F3, 149) (dual of [212, 2, 150]-code) | [i] | ||
| 10 | Linear OA(3210, 212, F3, 148) (dual of [212, 2, 149]-code) | [i] | ||
| 11 | Linear OA(3210, 212, F3, 147) (dual of [212, 2, 148]-code) | [i] | ||
| 12 | Linear OA(3209, 211, F3, 157) (dual of [211, 2, 158]-code) | [i] | Truncation | |
| 13 | Linear OA(3208, 210, F3, 156) (dual of [210, 2, 157]-code) | [i] | ||
| 14 | Linear OA(3207, 209, F3, 155) (dual of [209, 2, 156]-code) | [i] | ||
| 15 | Linear OA(3205, 207, F3, 153) (dual of [207, 2, 154]-code) | [i] | ||
| 16 | Linear OA(3204, 206, F3, 152) (dual of [206, 2, 153]-code) | [i] | ||
| 17 | Linear OA(3203, 205, F3, 151) (dual of [205, 2, 152]-code) | [i] | ||
| 18 | Linear OA(3201, 203, F3, 149) (dual of [203, 2, 150]-code) | [i] | ||
| 19 | Linear OA(3200, 202, F3, 148) (dual of [202, 2, 149]-code) | [i] | ||
| 20 | Linear OA(3199, 201, F3, 147) (dual of [201, 2, 148]-code) | [i] | ||
| 21 | Linear OA(3197, 199, F3, 145) (dual of [199, 2, 146]-code) | [i] | ||
| 22 | Linear OA(3196, 198, F3, 144) (dual of [198, 2, 145]-code) | [i] | ||
| 23 | Linear OA(3195, 197, F3, 143) (dual of [197, 2, 144]-code) | [i] | ||
| 24 | Linear OA(3193, 195, F3, 141) (dual of [195, 2, 142]-code) | [i] | ||
| 25 | Linear OA(3192, 194, F3, 140) (dual of [194, 2, 141]-code) | [i] | ||
| 26 | Linear OA(3191, 193, F3, 139) (dual of [193, 2, 140]-code) | [i] | ||
| 27 | Linear OA(3189, 191, F3, 137) (dual of [191, 2, 138]-code) | [i] | ||
| 28 | Linear OA(3188, 190, F3, 136) (dual of [190, 2, 137]-code) | [i] | ||
| 29 | Linear OA(3187, 189, F3, 135) (dual of [189, 2, 136]-code) | [i] | ||
| 30 | Linear OA(3185, 187, F3, 133) (dual of [187, 2, 134]-code) | [i] | ||
| 31 | Linear OA(3184, 186, F3, 132) (dual of [186, 2, 133]-code) | [i] | ||
| 32 | Linear OA(3183, 185, F3, 131) (dual of [185, 2, 132]-code) | [i] | ||
| 33 | Linear OA(3181, 183, F3, 129) (dual of [183, 2, 130]-code) | [i] | ||
| 34 | Linear OA(3180, 182, F3, 128) (dual of [182, 2, 129]-code) | [i] | ||
| 35 | Linear OA(3179, 181, F3, 127) (dual of [181, 2, 128]-code) | [i] | ||
| 36 | Linear OA(3177, 179, F3, 125) (dual of [179, 2, 126]-code) | [i] | ||
| 37 | Linear OA(3176, 178, F3, 124) (dual of [178, 2, 125]-code) | [i] | ||
| 38 | Linear OA(3175, 177, F3, 123) (dual of [177, 2, 124]-code) | [i] | ||
| 39 | Linear OA(3173, 175, F3, 121) (dual of [175, 2, 122]-code) | [i] | ||
| 40 | Linear OA(3172, 174, F3, 120) (dual of [174, 2, 121]-code) | [i] | ||
| 41 | Linear OOA(3210, 106, F3, 2, 158) (dual of [(106, 2), 2, 159]-NRT-code) | [i] | OOA Folding | |