Information on Result #673967
Linear OA(2111, 140, F2, 47) (dual of [140, 29, 48]-code), using construction X applied to Ce(46) ⊂ Ce(42) based on
- linear OA(2106, 128, F2, 47) (dual of [128, 22, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(25, 12, F2, 3) (dual of [12, 7, 4]-code or 12-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(2111, 140, F2, 46) (dual of [140, 29, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2111, 140, F2, 45) (dual of [140, 29, 46]-code) | [i] | ||
| 3 | Linear OA(2111, 140, F2, 44) (dual of [140, 29, 45]-code) | [i] | ||
| 4 | Linear OA(2112, 141, F2, 47) (dual of [141, 29, 48]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2113, 142, F2, 47) (dual of [142, 29, 48]-code) | [i] | ||
| 6 | Linear OA(2114, 143, F2, 47) (dual of [143, 29, 48]-code) | [i] | ||
| 7 | Linear OA(2115, 144, F2, 47) (dual of [144, 29, 48]-code) | [i] | ||
| 8 | Linear OA(2116, 145, F2, 47) (dual of [145, 29, 48]-code) | [i] | ||
| 9 | Linear OA(2117, 146, F2, 47) (dual of [146, 29, 48]-code) | [i] | ||
| 10 | Linear OA(2110, 139, F2, 46) (dual of [139, 29, 47]-code) | [i] | Truncation | |
| 11 | Linear OA(2109, 138, F2, 45) (dual of [138, 29, 46]-code) | [i] | ||
| 12 | Linear OA(2108, 137, F2, 44) (dual of [137, 29, 45]-code) | [i] | ||
| 13 | Linear OA(2106, 135, F2, 42) (dual of [135, 29, 43]-code) | [i] | ||
| 14 | Linear OA(2105, 134, F2, 41) (dual of [134, 29, 42]-code) | [i] | ||
| 15 | Linear OA(2104, 133, F2, 40) (dual of [133, 29, 41]-code) | [i] | ||
| 16 | Linear OA(2103, 132, F2, 39) (dual of [132, 29, 40]-code) | [i] | ||
| 17 | Linear OA(2102, 131, F2, 38) (dual of [131, 29, 39]-code) | [i] | ||
| 18 | Linear OA(2126, 157, F2, 46) (dual of [157, 31, 47]-code) | [i] | Construction X with Varšamov Bound | |
| 19 | Linear OOA(2111, 70, F2, 2, 47) (dual of [(70, 2), 29, 48]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(2111, 46, F2, 3, 47) (dual of [(46, 3), 27, 48]-NRT-code) | [i] | ||
| 21 | Linear OOA(2111, 35, F2, 4, 47) (dual of [(35, 4), 29, 48]-NRT-code) | [i] | ||
| 22 | Linear OOA(2111, 28, F2, 5, 47) (dual of [(28, 5), 29, 48]-NRT-code) | [i] | ||