Information on Result #684061
Linear OA(5127, 135, F5, 99) (dual of [135, 8, 100]-code), using construction X applied to Ce(98) ⊂ Ce(92) based on
- linear OA(5121, 125, F5, 99) (dual of [125, 4, 100]-code), using an extension Ce(98) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,98], and designed minimum distance d ≥ |I|+1 = 99 [i]
- linear OA(5117, 125, F5, 93) (dual of [125, 8, 94]-code), using an extension Ce(92) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,92], and designed minimum distance d ≥ |I|+1 = 93 [i]
- linear OA(56, 10, F5, 5) (dual of [10, 4, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5127, 135, F5, 98) (dual of [135, 8, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5127, 135, F5, 97) (dual of [135, 8, 98]-code) | [i] | ||
| 3 | Linear OA(5127, 135, F5, 96) (dual of [135, 8, 97]-code) | [i] | ||
| 4 | Linear OA(5127, 135, F5, 95) (dual of [135, 8, 96]-code) | [i] | ||
| 5 | Linear OA(5127, 135, F5, 94) (dual of [135, 8, 95]-code) | [i] | ||
| 6 | Linear OA(5128, 136, F5, 99) (dual of [136, 8, 100]-code) | [i] | Code Embedding in Larger Space | |
| 7 | Linear OA(5129, 137, F5, 99) (dual of [137, 8, 100]-code) | [i] | ||
| 8 | Linear OA(5126, 134, F5, 98) (dual of [134, 8, 99]-code) | [i] | Truncation | |
| 9 | Linear OA(5125, 133, F5, 97) (dual of [133, 8, 98]-code) | [i] | ||
| 10 | Linear OA(5121, 129, F5, 93) (dual of [129, 8, 94]-code) | [i] | ||
| 11 | Linear OA(5120, 128, F5, 92) (dual of [128, 8, 93]-code) | [i] | ||
| 12 | Linear OA(5119, 127, F5, 91) (dual of [127, 8, 92]-code) | [i] | ||
| 13 | Linear OA(5116, 124, F5, 88) (dual of [124, 8, 89]-code) | [i] | ||
| 14 | Linear OA(5115, 123, F5, 87) (dual of [123, 8, 88]-code) | [i] | ||
| 15 | Linear OA(5114, 122, F5, 86) (dual of [122, 8, 87]-code) | [i] | ||
| 16 | Linear OA(5113, 121, F5, 85) (dual of [121, 8, 86]-code) | [i] | ||
| 17 | Linear OA(5112, 120, F5, 84) (dual of [120, 8, 85]-code) | [i] | ||
| 18 | Linear OA(5111, 119, F5, 83) (dual of [119, 8, 84]-code) | [i] | ||
| 19 | Linear OA(5110, 118, F5, 82) (dual of [118, 8, 83]-code) | [i] | ||
| 20 | Linear OA(5109, 117, F5, 81) (dual of [117, 8, 82]-code) | [i] | ||
| 21 | Linear OA(5108, 116, F5, 80) (dual of [116, 8, 81]-code) | [i] | ||
| 22 | Linear OA(5107, 115, F5, 79) (dual of [115, 8, 80]-code) | [i] | ||
| 23 | Linear OA(5106, 114, F5, 78) (dual of [114, 8, 79]-code) | [i] | ||
| 24 | Linear OA(5105, 113, F5, 77) (dual of [113, 8, 78]-code) | [i] | ||
| 25 | Linear OA(5104, 112, F5, 76) (dual of [112, 8, 77]-code) | [i] | ||
| 26 | Linear OA(5103, 111, F5, 75) (dual of [111, 8, 76]-code) | [i] | ||
| 27 | Linear OA(5102, 110, F5, 74) (dual of [110, 8, 75]-code) | [i] | ||
| 28 | Linear OA(5101, 109, F5, 73) (dual of [109, 8, 74]-code) | [i] | ||
| 29 | Linear OA(5100, 108, F5, 72) (dual of [108, 8, 73]-code) | [i] | ||
| 30 | Linear OOA(5127, 67, F5, 2, 99) (dual of [(67, 2), 7, 100]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(5127, 45, F5, 3, 99) (dual of [(45, 3), 8, 100]-NRT-code) | [i] | ||