Information on Result #677500
Linear OA(3164, 184, F3, 92) (dual of [184, 20, 93]-code), using construction X applied to Ce(91) ⊂ Ce(90) based on
- linear OA(3164, 183, F3, 92) (dual of [183, 19, 93]-code), using an extension Ce(91) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,91], and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(3163, 183, F3, 91) (dual of [183, 20, 92]-code), using an extension Ce(90) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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(3164, 184, F3, 91) (dual of [184, 20, 92]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3164, 184, F3, 90) (dual of [184, 20, 91]-code) | [i] | ||
| 3 | Linear OA(3164, 184, F3, 89) (dual of [184, 20, 90]-code) | [i] | ||
| 4 | Linear OA(3164, 184, F3, 88) (dual of [184, 20, 89]-code) | [i] | ||
| 5 | Linear OA(3164, 184, F3, 87) (dual of [184, 20, 88]-code) | [i] | ||
| 6 | Linear OA(3164, 184, F3, 86) (dual of [184, 20, 87]-code) | [i] | ||
| 7 | Linear OA(3165, 185, F3, 92) (dual of [185, 20, 93]-code) | [i] | Code Embedding in Larger Space | |
| 8 | Linear OA(3166, 186, F3, 92) (dual of [186, 20, 93]-code) | [i] | ||
| 9 | Linear OA(3167, 187, F3, 92) (dual of [187, 20, 93]-code) | [i] | ||
| 10 | Linear OA(3168, 188, F3, 92) (dual of [188, 20, 93]-code) | [i] | ||
| 11 | Linear OA(3169, 189, F3, 92) (dual of [189, 20, 93]-code) | [i] | ||
| 12 | Linear OA(3161, 181, F3, 89) (dual of [181, 20, 90]-code) | [i] | Truncation | |
| 13 | Linear OA(3160, 180, F3, 88) (dual of [180, 20, 89]-code) | [i] | ||
| 14 | Linear OA(3159, 179, F3, 87) (dual of [179, 20, 88]-code) | [i] | ||
| 15 | Linear OA(3158, 178, F3, 86) (dual of [178, 20, 87]-code) | [i] | ||
| 16 | Linear OA(3157, 177, F3, 85) (dual of [177, 20, 86]-code) | [i] | ||
| 17 | Linear OA(3156, 176, F3, 84) (dual of [176, 20, 85]-code) | [i] | ||
| 18 | Linear OA(3155, 175, F3, 83) (dual of [175, 20, 84]-code) | [i] | ||
| 19 | Linear OA(3154, 174, F3, 82) (dual of [174, 20, 83]-code) | [i] | ||
| 20 | Linear OA(3153, 173, F3, 81) (dual of [173, 20, 82]-code) | [i] | ||
| 21 | Linear OA(3152, 172, F3, 80) (dual of [172, 20, 81]-code) | [i] | ||
| 22 | Linear OA(3151, 171, F3, 79) (dual of [171, 20, 80]-code) | [i] | ||
| 23 | Linear OA(3150, 170, F3, 78) (dual of [170, 20, 79]-code) | [i] | ||
| 24 | Linear OA(3149, 169, F3, 77) (dual of [169, 20, 78]-code) | [i] | ||
| 25 | Linear OA(3148, 168, F3, 76) (dual of [168, 20, 77]-code) | [i] | ||
| 26 | Linear OA(3147, 167, F3, 75) (dual of [167, 20, 76]-code) | [i] | ||
| 27 | Linear OA(3146, 166, F3, 74) (dual of [166, 20, 75]-code) | [i] | ||
| 28 | Linear OA(3145, 165, F3, 73) (dual of [165, 20, 74]-code) | [i] | ||
| 29 | Linear OA(3144, 164, F3, 72) (dual of [164, 20, 73]-code) | [i] | ||
| 30 | Linear OA(3179, 201, F3, 92) (dual of [201, 22, 93]-code) | [i] | Construction X with Varšamov Bound | |
| 31 | Linear OOA(3164, 92, F3, 2, 92) (dual of [(92, 2), 20, 93]-NRT-code) | [i] | OOA Folding | |