Information on Result #731720
Linear OA(2200, 216, F2, 93) (dual of [216, 16, 94]-code), using concatenation of two codes based on
- linear OA(464, 72, F4, 46) (dual of [72, 8, 47]-code), using
- construction X applied to C([1,140]) ⊂ C([1,125]) [i] based on
- linear OA(459, 63, F4, 46) (dual of [63, 4, 47]-code), using contraction [i] based on linear OA(4185, 189, F4, 140) (dual of [189, 4, 141]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,140], and designed minimum distance d ≥ |I|+1 = 141 [i]
- linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using contraction [i] based on linear OA(4181, 189, F4, 125) (dual of [189, 8, 126]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,125], and designed minimum distance d ≥ |I|+1 = 126 [i]
- linear OA(45, 9, F4, 4) (dual of [9, 4, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(45, 11, F4, 4) (dual of [11, 6, 5]-code), using
- construction X applied to C([1,140]) ⊂ C([1,125]) [i] based on
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-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(2200, 216, F2, 92) (dual of [216, 16, 93]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2200, 216, F2, 91) (dual of [216, 16, 92]-code) | [i] | ||
| 3 | Linear OA(2199, 215, F2, 92) (dual of [215, 16, 93]-code) | [i] | Truncation | |
| 4 | Linear OA(2198, 214, F2, 91) (dual of [214, 16, 92]-code) | [i] | ||