Information on Result #1013383
Linear OOA(5135, 130231, F5, 3, 19) (dual of [(130231, 3), 390558, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(514, 20, F5, 3, 9) (dual of [(20, 3), 46, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,50P) [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- linear OOA(5121, 130211, F5, 3, 19) (dual of [(130211, 3), 390512, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5121, 390633, F5, 19) (dual of [390633, 390512, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(5113, 390625, F5, 18) (dual of [390625, 390512, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(5121, 390633, F5, 19) (dual of [390633, 390512, 20]-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(5135, 43410, F5, 21, 19) (dual of [(43410, 21), 911475, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |