Information on Result #612535
Linear OA(3155, 162, F3, 101) (dual of [162, 7, 102]-code), using construction X applied to C([0,99]) ⊂ C([1,99]) based on
- linear OA(3154, 160, F3, 101) (dual of [160, 6, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (BCH-bound) [i]
- linear OA(3153, 160, F3, 99) (dual of [160, 7, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.
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(3155, 162, F3, 100) (dual of [162, 7, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3155, 162, F3, 99) (dual of [162, 7, 100]-code) | [i] | ||
| 3 | Linear OA(3162, 169, F3, 102) (dual of [169, 7, 103]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(3163, 170, F3, 103) (dual of [170, 7, 104]-code) | [i] | ||
| 5 | Linear OA(3165, 172, F3, 104) (dual of [172, 7, 105]-code) | [i] | ||
| 6 | Linear OA(3167, 174, F3, 105) (dual of [174, 7, 106]-code) | [i] | ||
| 7 | Linear OA(3168, 175, F3, 106) (dual of [175, 7, 107]-code) | [i] | ||
| 8 | Linear OA(3169, 176, F3, 107) (dual of [176, 7, 108]-code) | [i] | ||
| 9 | Linear OA(3172, 179, F3, 108) (dual of [179, 7, 109]-code) | [i] | ||
| 10 | Linear OA(3173, 180, F3, 109) (dual of [180, 7, 110]-code) | [i] | ||
| 11 | Linear OA(3174, 181, F3, 110) (dual of [181, 7, 111]-code) | [i] | ||
| 12 | Linear OA(3177, 184, F3, 111) (dual of [184, 7, 112]-code) | [i] | ||
| 13 | Linear OA(3178, 185, F3, 112) (dual of [185, 7, 113]-code) | [i] | ||
| 14 | Linear OA(3179, 186, F3, 113) (dual of [186, 7, 114]-code) | [i] | ||
| 15 | Linear OA(3180, 187, F3, 114) (dual of [187, 7, 115]-code) | [i] | ||
| 16 | Linear OA(3181, 188, F3, 115) (dual of [188, 7, 116]-code) | [i] | ||
| 17 | Linear OA(3182, 189, F3, 116) (dual of [189, 7, 117]-code) | [i] | ||
| 18 | Linear OA(3192, 199, F3, 120) (dual of [199, 7, 121]-code) | [i] | ||
| 19 | Linear OA(3193, 200, F3, 121) (dual of [200, 7, 122]-code) | [i] | ||
| 20 | Linear OA(3194, 201, F3, 122) (dual of [201, 7, 123]-code) | [i] | ||
| 21 | Linear OA(3195, 202, F3, 123) (dual of [202, 7, 124]-code) | [i] | ||
| 22 | Linear OA(3196, 203, F3, 124) (dual of [203, 7, 125]-code) | [i] | ||
| 23 | Linear OA(3197, 204, F3, 125) (dual of [204, 7, 126]-code) | [i] | ||
| 24 | Linear OA(3201, 208, F3, 126) (dual of [208, 7, 127]-code) | [i] | ||
| 25 | Linear OA(3202, 209, F3, 127) (dual of [209, 7, 128]-code) | [i] | ||
| 26 | Linear OA(354, 60, F3, 33) (dual of [60, 6, 34]-code) | [i] | Residual Code | |
| 27 | Linear OOA(3155, 81, F3, 2, 101) (dual of [(81, 2), 7, 102]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(3155, 54, F3, 3, 101) (dual of [(54, 3), 7, 102]-NRT-code) | [i] | ||