Information on Result #684319
Linear OA(573, 138, F5, 33) (dual of [138, 65, 34]-code), using construction XX applied to Ce(32) ⊂ Ce(30) ⊂ Ce(23) based on
- linear OA(565, 125, F5, 33) (dual of [125, 60, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(558, 125, F5, 24) (dual of [125, 67, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(51, 6, F5, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [i]
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(573, 69, F5, 2, 33) (dual of [(69, 2), 65, 34]-NRT-code) | [i] | OOA Folding | |