Information on Result #682086
Linear OA(448, 76, F4, 23) (dual of [76, 28, 24]-code), using construction XX applied to Ce(22) ⊂ Ce(20) ⊂ Ce(14) based on
- linear OA(441, 64, F4, 23) (dual of [64, 23, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(437, 64, F4, 21) (dual of [64, 27, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(434, 64, F4, 15) (dual of [64, 30, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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(45, 6, F4, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,4)), using
- dual of repetition code with length 6 [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.
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 OOA(448, 38, F4, 2, 23) (dual of [(38, 2), 28, 24]-NRT-code) | [i] | OOA Folding | |