Information on Result #905178
Linear OOA(12857, 8343, F128, 2, 23) (dual of [(8343, 2), 16629, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 150, F128, 2, 11) (dual of [(150, 2), 288, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,288P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12845, 8193, F128, 2, 23) (dual of [(8193, 2), 16341, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12845, 16386, F128, 23) (dual of [16386, 16341, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(12845, 16384, F128, 23) (dual of [16384, 16339, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(12845, 16386, F128, 23) (dual of [16386, 16341, 24]-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 OOA(12857, 4171, F128, 4, 23) (dual of [(4171, 4), 16627, 24]-NRT-code) | [i] | OOA Folding | |