Information on Result #677282
Linear OA(3230, 262, F3, 127) (dual of [262, 32, 128]-code), using construction X applied to Ce(130) ⊂ Ce(120) based on
- linear OA(3222, 243, F3, 131) (dual of [243, 21, 132]-code), using an extension Ce(130) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(38, 19, F3, 5) (dual of [19, 11, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3230, 262, F3, 126) (dual of [262, 32, 127]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3230, 262, F3, 125) (dual of [262, 32, 126]-code) | [i] | ||
| 3 | Linear OA(3230, 262, F3, 124) (dual of [262, 32, 125]-code) | [i] | ||
| 4 | Linear OA(3230, 262, F3, 123) (dual of [262, 32, 124]-code) | [i] | ||
| 5 | Linear OA(3230, 262, F3, 122) (dual of [262, 32, 123]-code) | [i] | ||
| 6 | Linear OA(3230, 262, F3, 121) (dual of [262, 32, 122]-code) | [i] | ||
| 7 | Linear OA(3230, 262, F3, 120) (dual of [262, 32, 121]-code) | [i] | ||
| 8 | Linear OA(3230, 262, F3, 119) (dual of [262, 32, 120]-code) | [i] | ||
| 9 | Linear OA(3230, 262, F3, 118) (dual of [262, 32, 119]-code) | [i] | ||
| 10 | Linear OA(3230, 262, F3, 117) (dual of [262, 32, 118]-code) | [i] | ||
| 11 | Linear OA(3230, 262, F3, 116) (dual of [262, 32, 117]-code) | [i] | ||
| 12 | Linear OA(3230, 262, F3, 115) (dual of [262, 32, 116]-code) | [i] | ||
| 13 | Linear OA(3230, 262, F3, 114) (dual of [262, 32, 115]-code) | [i] | ||
| 14 | Linear OA(3230, 262, F3, 113) (dual of [262, 32, 114]-code) | [i] | ||
| 15 | Linear OA(3230, 262, F3, 112) (dual of [262, 32, 113]-code) | [i] | ||
| 16 | Linear OA(3230, 262, F3, 111) (dual of [262, 32, 112]-code) | [i] | ||
| 17 | Linear OA(3230, 262, F3, 110) (dual of [262, 32, 111]-code) | [i] | ||
| 18 | Linear OOA(3230, 131, F3, 2, 127) (dual of [(131, 2), 32, 128]-NRT-code) | [i] | OOA Folding | |