Information on Result #839998
Linear OOA(5126, 67, F5, 2, 98) (dual of [(67, 2), 8, 99]-NRT-code), using OOA 2-folding based on linear OA(5126, 134, F5, 98) (dual of [134, 8, 99]-code), using
- 1 times truncation [i] based on linear OA(5127, 135, F5, 99) (dual of [135, 8, 100]-code), using
- construction X applied to Ce(98) ⊂ Ce(92) [i] based on
- linear OA(5121, 125, F5, 99) (dual of [125, 4, 100]-code), using an extension Ce(98) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,98], and designed minimum distance d ≥ |I|+1 = 99 [i]
- linear OA(5117, 125, F5, 93) (dual of [125, 8, 94]-code), using an extension Ce(92) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,92], and designed minimum distance d ≥ |I|+1 = 93 [i]
- linear OA(56, 10, F5, 5) (dual of [10, 4, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- construction X applied to Ce(98) ⊂ Ce(92) [i] based on
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(5126, 67, F5, 2, 97) (dual of [(67, 2), 8, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5126, 67, F5, 2, 96) (dual of [(67, 2), 8, 97]-NRT-code) | [i] | ||
| 3 | Linear OOA(5120, 64, F5, 2, 92) (dual of [(64, 2), 8, 93]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(5119, 63, F5, 2, 91) (dual of [(63, 2), 7, 92]-NRT-code) | [i] | ||