Information on Result #681236
Linear OA(498, 350, F4, 28) (dual of [350, 252, 29]-code), using construction XX applied to Ce(28) ⊂ Ce(25) ⊂ Ce(24) based on
- linear OA(496, 342, F4, 29) (dual of [342, 246, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(491, 342, F4, 26) (dual of [342, 251, 27]-code), using an extension Ce(25) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(486, 342, F4, 25) (dual of [342, 256, 26]-code), using an extension Ce(24) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(498, 175, F4, 2, 28) (dual of [(175, 2), 252, 29]-NRT-code) | [i] | OOA Folding | |