Information on Result #907159
Linear OOA(12877, 8601, F128, 2, 27) (dual of [(8601, 2), 17125, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12824, 408, F128, 2, 13) (dual of [(408, 2), 792, 14]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1284, 129, F128, 2, 4) (dual of [(129, 2), 254, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;254,128) [i]
- linear OOA(1286, 129, F128, 2, 6) (dual of [(129, 2), 252, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;252,128) [i]
- linear OOA(12814, 150, F128, 2, 13) (dual of [(150, 2), 286, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,286P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1284, 129, F128, 2, 4) (dual of [(129, 2), 254, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(12853, 8193, F128, 2, 27) (dual of [(8193, 2), 16333, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12853, 16386, F128, 27) (dual of [16386, 16333, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(26) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(12853, 16386, F128, 27) (dual of [16386, 16333, 28]-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(12877, 4300, F128, 4, 27) (dual of [(4300, 4), 17123, 28]-NRT-code) | [i] | OOA Folding | |