Information on Result #1014411
Linear OOA(879, 699070, F8, 3, 12) (dual of [(699070, 3), 2097131, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(88, 17, F8, 3, 6) (dual of [(17, 3), 43, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OOA(871, 699053, F8, 3, 12) (dual of [(699053, 3), 2097088, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(871, 2097159, F8, 12) (dual of [2097159, 2097088, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- OOA 3-folding [i] based on linear OA(871, 2097159, F8, 12) (dual of [2097159, 2097088, 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 OOA(879, 349534, F8, 15, 12) (dual of [(349534, 15), 5242931, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |