Information on Result #677152
Linear OA(3250, 266, F3, 147) (dual of [266, 16, 148]-code), using construction X applied to Ce(151) ⊂ Ce(133) based on
- linear OA(3232, 243, F3, 152) (dual of [243, 11, 153]-code), using an extension Ce(151) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,151], and designed minimum distance d ≥ |I|+1 = 152 [i]
- linear OA(3227, 243, F3, 134) (dual of [243, 16, 135]-code), using an extension Ce(133) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,133], and designed minimum distance d ≥ |I|+1 = 134 [i]
- linear OA(318, 23, F3, 12) (dual of [23, 5, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(318, 26, F3, 12) (dual of [26, 8, 13]-code), using
- 2 times truncation [i] based on linear OA(320, 28, F3, 14) (dual of [28, 8, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(318, 26, F3, 12) (dual of [26, 8, 13]-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(3250, 266, F3, 146) (dual of [266, 16, 147]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3249, 265, F3, 146) (dual of [265, 16, 147]-code) | [i] | Truncation | |
| 3 | Linear OA(3248, 264, F3, 145) (dual of [264, 16, 146]-code) | [i] | ||
| 4 | Linear OA(3246, 262, F3, 143) (dual of [262, 16, 144]-code) | [i] | ||
| 5 | Linear OA(3245, 261, F3, 142) (dual of [261, 16, 143]-code) | [i] | ||
| 6 | Linear OOA(3250, 133, F3, 2, 147) (dual of [(133, 2), 16, 148]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3250, 88, F3, 3, 147) (dual of [(88, 3), 14, 148]-NRT-code) | [i] | ||
| 8 | Linear OOA(3250, 53, F3, 5, 147) (dual of [(53, 5), 15, 148]-NRT-code) | [i] | ||