Information on Result #1203611
Linear OOA(12852, 299615, F128, 15, 15) (dual of [(299615, 15), 4494173, 16]-NRT-code), using OOA 7-folding and stacking with additional row based on linear OA(12852, 2097306, F128, 15) (dual of [2097306, 2097254, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12852, 2097307, F128, 15) (dual of [2097307, 2097255, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(1289, 152, F128, 7) (dual of [152, 143, 8]-code), using
- construction X applied to AG(F,141P) ⊂ AG(F,143P) [i] based on
- linear OA(1288, 149, F128, 7) (dual of [149, 141, 8]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1286, 149, F128, 5) (dual of [149, 143, 6]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,141P) ⊂ AG(F,143P) [i] based on
- linear OA(12843, 2097155, F128, 15) (dual of [2097155, 2097112, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 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(14) ⊂ Ce(13) [i] based on
- linear OA(1289, 152, F128, 7) (dual of [152, 143, 8]-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (37, 52, 299615)-net over F128 | [i] | Net Defined by OOA | |