Information on Result #684049
Linear OA(528, 128, F5, 12) (dual of [128, 100, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(528, 125, F5, 12) (dual of [125, 97, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(525, 125, F5, 11) (dual of [125, 100, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(531, 137, F5, 12) (dual of [137, 106, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(532, 147, F5, 12) (dual of [147, 115, 13]-code) | [i] | ||
| 3 | Linear OA(533, 163, F5, 12) (dual of [163, 130, 13]-code) | [i] | ||
| 4 | Linear OA(534, 185, F5, 12) (dual of [185, 151, 13]-code) | [i] | ||
| 5 | Linear OA(535, 212, F5, 12) (dual of [212, 177, 13]-code) | [i] | ||
| 6 | Linear OA(536, 244, F5, 12) (dual of [244, 208, 13]-code) | [i] | ||
| 7 | Linear OOA(528, 64, F5, 2, 12) (dual of [(64, 2), 100, 13]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(528, 42, F5, 3, 12) (dual of [(42, 3), 98, 13]-NRT-code) | [i] | ||